Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [507,2,Mod(40,507)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(507, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("507.40");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.m (of order \(13\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(180\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{13})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{13}]$ |
Embedding invariants
Embedding label | 40.12 | ||
Character | \(\chi\) | \(=\) | 507.40 |
Dual form | 507.2.m.a.469.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{13}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.56583 | + | 0.385942i | 1.10721 | + | 0.272902i | 0.750208 | − | 0.661202i | \(-0.229953\pi\) |
0.357001 | + | 0.934104i | \(0.383799\pi\) | |||||||
\(3\) | −0.120537 | + | 0.992709i | −0.0695919 | + | 0.573141i | ||||
\(4\) | 0.531960 | + | 0.279194i | 0.265980 | + | 0.139597i | ||||
\(5\) | 1.72727 | − | 2.50239i | 0.772460 | − | 1.11910i | −0.217265 | − | 0.976113i | \(-0.569713\pi\) |
0.989724 | − | 0.142988i | \(-0.0456712\pi\) | |||||||
\(6\) | −0.571868 | + | 1.50789i | −0.233464 | + | 0.615595i | ||||
\(7\) | 1.75934 | + | 1.55864i | 0.664967 | + | 0.589110i | 0.926596 | − | 0.376059i | \(-0.122721\pi\) |
−0.261628 | + | 0.965169i | \(0.584259\pi\) | |||||||
\(8\) | −1.68903 | − | 1.49635i | −0.597162 | − | 0.529039i | ||||
\(9\) | −0.970942 | − | 0.239316i | −0.323647 | − | 0.0797719i | ||||
\(10\) | 3.67039 | − | 3.25168i | 1.16068 | − | 1.02827i | ||||
\(11\) | 2.53130 | − | 0.623911i | 0.763217 | − | 0.188116i | 0.161552 | − | 0.986864i | \(-0.448350\pi\) |
0.601666 | + | 0.798748i | \(0.294504\pi\) | |||||||
\(12\) | −0.341279 | + | 0.494428i | −0.0985187 | + | 0.142729i | ||||
\(13\) | 1.58278 | + | 3.23957i | 0.438985 | + | 0.898494i | ||||
\(14\) | 2.15328 | + | 3.11957i | 0.575488 | + | 0.833739i | ||||
\(15\) | 2.27594 | + | 2.01631i | 0.587646 | + | 0.520609i | ||||
\(16\) | −2.74979 | − | 3.98375i | −0.687446 | − | 0.995938i | ||||
\(17\) | −1.60100 | − | 1.41836i | −0.388299 | − | 0.344003i | 0.446278 | − | 0.894894i | \(-0.352749\pi\) |
−0.834577 | + | 0.550892i | \(0.814288\pi\) | |||||||
\(18\) | −1.42797 | − | 0.749455i | −0.336575 | − | 0.176648i | ||||
\(19\) | 7.26868 | 1.66755 | 0.833774 | − | 0.552105i | \(-0.186175\pi\) | ||||
0.833774 | + | 0.552105i | \(0.186175\pi\) | |||||||
\(20\) | 1.61749 | − | 0.848924i | 0.361682 | − | 0.189825i | ||||
\(21\) | −1.75934 | + | 1.55864i | −0.383919 | + | 0.340123i | ||||
\(22\) | 4.20439 | 0.896378 | ||||||||
\(23\) | −0.172131 | −0.0358917 | −0.0179459 | − | 0.999839i | \(-0.505713\pi\) | ||||
−0.0179459 | + | 0.999839i | \(0.505713\pi\) | |||||||
\(24\) | 1.68903 | − | 1.49635i | 0.344772 | − | 0.305441i | ||||
\(25\) | −1.50544 | − | 3.96952i | −0.301088 | − | 0.793905i | ||||
\(26\) | 1.22808 | + | 5.68347i | 0.240847 | + | 1.11462i | ||||
\(27\) | 0.354605 | − | 0.935016i | 0.0682437 | − | 0.179944i | ||||
\(28\) | 0.500735 | + | 1.32033i | 0.0946300 | + | 0.249519i | ||||
\(29\) | −9.06847 | − | 2.23518i | −1.68397 | − | 0.415062i | −0.722810 | − | 0.691047i | \(-0.757150\pi\) |
−0.961162 | + | 0.275985i | \(0.910996\pi\) | |||||||
\(30\) | 2.78556 | + | 4.03558i | 0.508571 | + | 0.736792i | ||||
\(31\) | −3.10281 | + | 8.18145i | −0.557282 | + | 1.46943i | 0.299674 | + | 0.954042i | \(0.403122\pi\) |
−0.856956 | + | 0.515390i | \(0.827647\pi\) | |||||||
\(32\) | −1.16785 | − | 3.07937i | −0.206449 | − | 0.544361i | ||||
\(33\) | 0.314247 | + | 2.58805i | 0.0547033 | + | 0.450522i | ||||
\(34\) | −1.95948 | − | 2.83880i | −0.336049 | − | 0.486851i | ||||
\(35\) | 6.93917 | − | 1.71035i | 1.17293 | − | 0.289102i | ||||
\(36\) | −0.449686 | − | 0.398387i | −0.0749477 | − | 0.0663979i | ||||
\(37\) | −0.291787 | + | 0.769378i | −0.0479694 | + | 0.126485i | −0.956860 | − | 0.290550i | \(-0.906162\pi\) |
0.908890 | + | 0.417035i | \(0.136931\pi\) | |||||||
\(38\) | 11.3815 | + | 2.80529i | 1.84632 | + | 0.455078i | ||||
\(39\) | −3.40673 | + | 1.18076i | −0.545514 | + | 0.189072i | ||||
\(40\) | −6.66186 | + | 1.64200i | −1.05333 | + | 0.259623i | ||||
\(41\) | −0.194028 | + | 1.59796i | −0.0303021 | + | 0.249560i | 0.969684 | + | 0.244361i | \(0.0785781\pi\) |
−0.999986 | + | 0.00519943i | \(0.998345\pi\) | |||||||
\(42\) | −3.35637 | + | 1.76156i | −0.517899 | + | 0.271814i | ||||
\(43\) | −2.26140 | − | 5.96283i | −0.344861 | − | 0.909323i | −0.989461 | − | 0.144803i | \(-0.953745\pi\) |
0.644600 | − | 0.764520i | \(-0.277024\pi\) | |||||||
\(44\) | 1.52074 | + | 0.374830i | 0.229261 | + | 0.0565077i | ||||
\(45\) | −2.27594 | + | 2.01631i | −0.339277 | + | 0.300573i | ||||
\(46\) | −0.269527 | − | 0.0664325i | −0.0397396 | − | 0.00979494i | ||||
\(47\) | −10.3941 | + | 5.45525i | −1.51614 | + | 0.795730i | −0.998216 | − | 0.0596998i | \(-0.980986\pi\) |
−0.517920 | + | 0.855429i | \(0.673293\pi\) | |||||||
\(48\) | 4.28616 | − | 2.24955i | 0.618653 | − | 0.324694i | ||||
\(49\) | −0.177837 | − | 1.46462i | −0.0254053 | − | 0.209231i | ||||
\(50\) | −0.825258 | − | 6.79661i | −0.116709 | − | 0.961186i | ||||
\(51\) | 1.60100 | − | 1.41836i | 0.224184 | − | 0.198610i | ||||
\(52\) | −0.0624911 | + | 2.16522i | −0.00866596 | + | 0.300262i | ||||
\(53\) | 2.82893 | + | 2.50621i | 0.388584 | + | 0.344255i | 0.834685 | − | 0.550727i | \(-0.185650\pi\) |
−0.446102 | + | 0.894982i | \(0.647188\pi\) | |||||||
\(54\) | 0.916113 | − | 1.32722i | 0.124667 | − | 0.180612i | ||||
\(55\) | 2.81099 | − | 7.41197i | 0.379034 | − | 0.999429i | ||||
\(56\) | −0.639307 | − | 5.26517i | −0.0854310 | − | 0.703588i | ||||
\(57\) | −0.876142 | + | 7.21568i | −0.116048 | + | 0.955740i | ||||
\(58\) | −13.3370 | − | 6.99981i | −1.75124 | − | 0.919120i | ||||
\(59\) | 5.32917 | − | 7.72064i | 0.693799 | − | 1.00514i | −0.304810 | − | 0.952413i | \(-0.598593\pi\) |
0.998609 | − | 0.0527283i | \(-0.0167917\pi\) | |||||||
\(60\) | 0.647768 | + | 1.70802i | 0.0836265 | + | 0.220505i | ||||
\(61\) | −1.27106 | + | 1.12606i | −0.162742 | + | 0.144177i | −0.740564 | − | 0.671986i | \(-0.765441\pi\) |
0.577821 | + | 0.816163i | \(0.303903\pi\) | |||||||
\(62\) | −8.01605 | + | 11.6132i | −1.01804 | + | 1.47488i | ||||
\(63\) | −1.33521 | − | 1.93438i | −0.168221 | − | 0.243709i | ||||
\(64\) | 0.526748 | + | 4.33816i | 0.0658434 | + | 0.542270i | ||||
\(65\) | 10.8405 | + | 1.63488i | 1.34460 | + | 0.202782i | ||||
\(66\) | −0.506783 | + | 4.17373i | −0.0623806 | + | 0.513751i | ||||
\(67\) | 0.803644 | − | 0.421785i | 0.0981807 | − | 0.0515292i | −0.414918 | − | 0.909859i | \(-0.636190\pi\) |
0.513099 | + | 0.858330i | \(0.328497\pi\) | |||||||
\(68\) | −0.455668 | − | 1.20150i | −0.0552579 | − | 0.145703i | ||||
\(69\) | 0.0207480 | − | 0.170876i | 0.00249777 | − | 0.0205710i | ||||
\(70\) | 11.5257 | 1.37758 | ||||||||
\(71\) | −0.134159 | + | 1.10490i | −0.0159218 | + | 0.131128i | −0.998502 | − | 0.0547097i | \(-0.982577\pi\) |
0.982581 | + | 0.185837i | \(0.0594997\pi\) | |||||||
\(72\) | 1.28185 | + | 1.85708i | 0.151067 | + | 0.218859i | ||||
\(73\) | −5.19641 | + | 1.28080i | −0.608194 | + | 0.149906i | −0.531372 | − | 0.847139i | \(-0.678323\pi\) |
−0.0768216 | + | 0.997045i | \(0.524477\pi\) | |||||||
\(74\) | −0.753824 | + | 1.09210i | −0.0876303 | + | 0.126954i | ||||
\(75\) | 4.12204 | − | 1.01599i | 0.475973 | − | 0.117317i | ||||
\(76\) | 3.86664 | + | 2.02937i | 0.443534 | + | 0.232785i | ||||
\(77\) | 5.42587 | + | 2.84772i | 0.618336 | + | 0.324528i | ||||
\(78\) | −5.79006 | + | 0.534061i | −0.655596 | + | 0.0604705i | ||||
\(79\) | −14.6342 | + | 7.68063i | −1.64648 | + | 0.864139i | −0.652115 | + | 0.758120i | \(0.726118\pi\) |
−0.994364 | + | 0.106019i | \(0.966190\pi\) | |||||||
\(80\) | −14.7185 | −1.64558 | ||||||||
\(81\) | 0.885456 | + | 0.464723i | 0.0983840 | + | 0.0516359i | ||||
\(82\) | −0.920537 | + | 2.42726i | −0.101656 | + | 0.268046i | ||||
\(83\) | −1.69355 | − | 13.9476i | −0.185891 | − | 1.53095i | −0.725021 | − | 0.688727i | \(-0.758170\pi\) |
0.539130 | − | 0.842223i | \(-0.318753\pi\) | |||||||
\(84\) | −1.37106 | + | 0.337936i | −0.149595 | + | 0.0368718i | ||||
\(85\) | −6.31464 | + | 1.55642i | −0.684919 | + | 0.168817i | ||||
\(86\) | −1.23966 | − | 10.2095i | −0.133676 | − | 1.10092i | ||||
\(87\) | 3.31196 | − | 8.73293i | 0.355080 | − | 0.936268i | ||||
\(88\) | −5.20904 | − | 2.73391i | −0.555285 | − | 0.291436i | ||||
\(89\) | −8.44011 | −0.894650 | −0.447325 | − | 0.894371i | \(-0.647623\pi\) | ||||
−0.447325 | + | 0.894371i | \(0.647623\pi\) | |||||||
\(90\) | −4.34192 | + | 2.27881i | −0.457678 | + | 0.240208i | ||||
\(91\) | −2.26466 | + | 8.16648i | −0.237401 | + | 0.856080i | ||||
\(92\) | −0.0915665 | − | 0.0480578i | −0.00954647 | − | 0.00501037i | ||||
\(93\) | −7.74779 | − | 4.06636i | −0.803409 | − | 0.421661i | ||||
\(94\) | −18.3808 | + | 4.53046i | −1.89584 | + | 0.467282i | ||||
\(95\) | 12.5550 | − | 18.1890i | 1.28811 | − | 1.86616i | ||||
\(96\) | 3.19769 | − | 0.788159i | 0.326363 | − | 0.0804412i | ||||
\(97\) | 7.13013 | + | 10.3298i | 0.723955 | + | 1.04883i | 0.996242 | + | 0.0866136i | \(0.0276046\pi\) |
−0.272287 | + | 0.962216i | \(0.587780\pi\) | |||||||
\(98\) | 0.286796 | − | 2.36198i | 0.0289708 | − | 0.238596i | ||||
\(99\) | −2.60706 | −0.262020 | ||||||||
\(100\) | 0.307433 | − | 2.53194i | 0.0307433 | − | 0.253194i | ||||
\(101\) | 2.39927 | + | 6.32635i | 0.238736 | + | 0.629495i | 0.999816 | − | 0.0191623i | \(-0.00609993\pi\) |
−0.761080 | + | 0.648658i | \(0.775331\pi\) | |||||||
\(102\) | 3.05429 | − | 1.60302i | 0.302420 | − | 0.158722i | ||||
\(103\) | 1.41452 | − | 11.6496i | 0.139377 | − | 1.14787i | −0.740292 | − | 0.672285i | \(-0.765313\pi\) |
0.879669 | − | 0.475587i | \(-0.157764\pi\) | |||||||
\(104\) | 2.17416 | − | 7.84012i | 0.213194 | − | 0.768787i | ||||
\(105\) | 0.861457 | + | 7.09474i | 0.0840696 | + | 0.692375i | ||||
\(106\) | 3.46237 | + | 5.01611i | 0.336295 | + | 0.487208i | ||||
\(107\) | 1.88464 | − | 2.73037i | 0.182195 | − | 0.263955i | −0.721235 | − | 0.692690i | \(-0.756425\pi\) |
0.903430 | + | 0.428736i | \(0.141041\pi\) | |||||||
\(108\) | 0.449686 | − | 0.398387i | 0.0432711 | − | 0.0383348i | ||||
\(109\) | −1.74454 | − | 4.59998i | −0.167097 | − | 0.440598i | 0.825145 | − | 0.564921i | \(-0.191093\pi\) |
−0.992242 | + | 0.124323i | \(0.960324\pi\) | |||||||
\(110\) | 7.26212 | − | 10.5210i | 0.692416 | − | 1.00314i | ||||
\(111\) | −0.728598 | − | 0.382398i | −0.0691554 | − | 0.0362956i | ||||
\(112\) | 1.37142 | − | 11.2947i | 0.129587 | − | 1.06725i | ||||
\(113\) | −0.943977 | − | 7.77435i | −0.0888019 | − | 0.731350i | −0.967306 | − | 0.253614i | \(-0.918381\pi\) |
0.878504 | − | 0.477736i | \(-0.158542\pi\) | |||||||
\(114\) | −4.15673 | + | 10.9604i | −0.389313 | + | 1.02653i | ||||
\(115\) | −0.297316 | + | 0.430737i | −0.0277249 | + | 0.0401665i | ||||
\(116\) | −4.20001 | − | 3.72088i | −0.389961 | − | 0.345475i | ||||
\(117\) | −0.761511 | − | 3.52422i | −0.0704017 | − | 0.325814i | ||||
\(118\) | 11.3243 | − | 10.0325i | 1.04249 | − | 0.923562i | ||||
\(119\) | −0.605987 | − | 4.99075i | −0.0555507 | − | 0.457501i | ||||
\(120\) | −0.827030 | − | 6.81121i | −0.0754972 | − | 0.621775i | ||||
\(121\) | −3.72178 | + | 1.95334i | −0.338343 | + | 0.177576i | ||||
\(122\) | −2.42485 | + | 1.27266i | −0.219536 | + | 0.115221i | ||||
\(123\) | −1.56293 | − | 0.385227i | −0.140924 | − | 0.0347347i | ||||
\(124\) | −3.93478 | + | 3.48591i | −0.353354 | + | 0.313044i | ||||
\(125\) | 2.22776 | + | 0.549094i | 0.199257 | + | 0.0491125i | ||||
\(126\) | −1.34415 | − | 3.54423i | −0.119746 | − | 0.315745i | ||||
\(127\) | 9.86455 | − | 5.17731i | 0.875337 | − | 0.459412i | 0.0336850 | − | 0.999433i | \(-0.489276\pi\) |
0.841652 | + | 0.540020i | \(0.181583\pi\) | |||||||
\(128\) | −1.64343 | + | 13.5349i | −0.145260 | + | 1.19632i | ||||
\(129\) | 6.19194 | − | 1.52618i | 0.545170 | − | 0.134372i | ||||
\(130\) | 16.3435 | + | 6.74377i | 1.43342 | + | 0.591468i | ||||
\(131\) | −15.7888 | − | 3.89159i | −1.37947 | − | 0.340010i | −0.521301 | − | 0.853373i | \(-0.674553\pi\) |
−0.858172 | + | 0.513363i | \(0.828399\pi\) | |||||||
\(132\) | −0.555402 | + | 1.46448i | −0.0483416 | + | 0.127466i | ||||
\(133\) | 12.7881 | + | 11.3292i | 1.10887 | + | 0.982369i | ||||
\(134\) | 1.42115 | − | 0.350283i | 0.122769 | − | 0.0302598i | ||||
\(135\) | −1.72727 | − | 2.50239i | −0.148660 | − | 0.215371i | ||||
\(136\) | 0.581769 | + | 4.79130i | 0.0498863 | + | 0.410851i | ||||
\(137\) | 3.04175 | + | 8.02043i | 0.259874 | + | 0.685231i | 0.999920 | + | 0.0126747i | \(0.00403460\pi\) |
−0.740046 | + | 0.672557i | \(0.765196\pi\) | |||||||
\(138\) | 0.0984360 | − | 0.259554i | 0.00837943 | − | 0.0220947i | ||||
\(139\) | 4.30859 | + | 6.24208i | 0.365450 | + | 0.529446i | 0.961971 | − | 0.273152i | \(-0.0880661\pi\) |
−0.596521 | + | 0.802598i | \(0.703451\pi\) | |||||||
\(140\) | 4.16888 | + | 1.02754i | 0.352335 | + | 0.0868427i | ||||
\(141\) | −4.16260 | − | 10.9759i | −0.350554 | − | 0.924336i | ||||
\(142\) | −0.636499 | + | 1.67831i | −0.0534138 | + | 0.140841i | ||||
\(143\) | 6.02771 | + | 7.21282i | 0.504062 | + | 0.603166i | ||||
\(144\) | 1.71651 | + | 4.52606i | 0.143042 | + | 0.377171i | ||||
\(145\) | −21.2570 | + | 18.8321i | −1.76530 | + | 1.56392i | ||||
\(146\) | −8.63101 | −0.714307 | ||||||||
\(147\) | 1.47538 | 0.121687 | ||||||||
\(148\) | −0.370025 | + | 0.327813i | −0.0304158 | + | 0.0269461i | ||||
\(149\) | −0.788318 | + | 0.413741i | −0.0645815 | + | 0.0338950i | −0.496705 | − | 0.867920i | \(-0.665457\pi\) |
0.432123 | + | 0.901815i | \(0.357765\pi\) | |||||||
\(150\) | 6.84653 | 0.559017 | ||||||||
\(151\) | 16.7935 | + | 8.81391i | 1.36664 | + | 0.717266i | 0.978868 | − | 0.204492i | \(-0.0655541\pi\) |
0.387767 | + | 0.921757i | \(0.373246\pi\) | |||||||
\(152\) | −12.2770 | − | 10.8765i | −0.995797 | − | 0.882199i | ||||
\(153\) | 1.21504 | + | 1.76029i | 0.0982301 | + | 0.142311i | ||||
\(154\) | 7.39694 | + | 6.55312i | 0.596062 | + | 0.528065i | ||||
\(155\) | 15.1137 | + | 21.8960i | 1.21396 | + | 1.75873i | ||||
\(156\) | −2.14190 | − | 0.323024i | −0.171489 | − | 0.0258626i | ||||
\(157\) | −8.73998 | + | 12.6621i | −0.697527 | + | 1.01054i | 0.300855 | + | 0.953670i | \(0.402728\pi\) |
−0.998381 | + | 0.0568719i | \(0.981887\pi\) | |||||||
\(158\) | −25.8790 | + | 6.37860i | −2.05882 | + | 0.507454i | ||||
\(159\) | −2.82893 | + | 2.50621i | −0.224349 | + | 0.198756i | ||||
\(160\) | −9.72297 | − | 2.39650i | −0.768669 | − | 0.189460i | ||||
\(161\) | −0.302836 | − | 0.268289i | −0.0238668 | − | 0.0211442i | ||||
\(162\) | 1.20712 | + | 1.06941i | 0.0948401 | + | 0.0840210i | ||||
\(163\) | −5.40649 | + | 14.2558i | −0.423469 | + | 1.11660i | 0.538304 | + | 0.842751i | \(0.319065\pi\) |
−0.961774 | + | 0.273846i | \(0.911704\pi\) | |||||||
\(164\) | −0.549357 | + | 0.795881i | −0.0428976 | + | 0.0621479i | ||||
\(165\) | 7.01910 | + | 3.68391i | 0.546436 | + | 0.286792i | ||||
\(166\) | 2.73117 | − | 22.4932i | 0.211980 | − | 1.74581i | ||||
\(167\) | 19.8097 | + | 4.88266i | 1.53292 | + | 0.377832i | 0.913373 | − | 0.407125i | \(-0.133469\pi\) |
0.619551 | + | 0.784956i | \(0.287315\pi\) | |||||||
\(168\) | 5.30384 | 0.409200 | ||||||||
\(169\) | −7.98960 | + | 10.2551i | −0.614584 | + | 0.788851i | ||||
\(170\) | −10.4883 | −0.804419 | ||||||||
\(171\) | −7.05746 | − | 1.73951i | −0.539698 | − | 0.133024i | ||||
\(172\) | 0.461811 | − | 3.80335i | 0.0352127 | − | 0.290003i | ||||
\(173\) | 4.37448 | + | 2.29590i | 0.332585 | + | 0.174554i | 0.622747 | − | 0.782423i | \(-0.286017\pi\) |
−0.290161 | + | 0.956978i | \(0.593709\pi\) | |||||||
\(174\) | 8.55638 | − | 12.3961i | 0.648657 | − | 0.939742i | ||||
\(175\) | 3.53847 | − | 9.33018i | 0.267483 | − | 0.705295i | ||||
\(176\) | −9.44605 | − | 8.36847i | −0.712023 | − | 0.630797i | ||||
\(177\) | 7.02199 | + | 6.22094i | 0.527805 | + | 0.467594i | ||||
\(178\) | −13.2158 | − | 3.25740i | −0.990565 | − | 0.244152i | ||||
\(179\) | 19.5098 | − | 17.2842i | 1.45823 | − | 1.29188i | 0.579140 | − | 0.815228i | \(-0.303388\pi\) |
0.879092 | − | 0.476653i | \(-0.158150\pi\) | |||||||
\(180\) | −1.77365 | + | 0.437165i | −0.132200 | + | 0.0325844i | ||||
\(181\) | 6.40043 | − | 9.27262i | 0.475740 | − | 0.689228i | −0.509488 | − | 0.860478i | \(-0.670165\pi\) |
0.985228 | + | 0.171250i | \(0.0547805\pi\) | |||||||
\(182\) | −6.69787 | + | 11.9133i | −0.496479 | + | 0.883072i | ||||
\(183\) | −0.964640 | − | 1.39752i | −0.0713082 | − | 0.103308i | ||||
\(184\) | 0.290734 | + | 0.257567i | 0.0214332 | + | 0.0189881i | ||||
\(185\) | 1.42129 | + | 2.05909i | 0.104495 | + | 0.151387i | ||||
\(186\) | −10.5623 | − | 9.35742i | −0.774469 | − | 0.686119i | ||||
\(187\) | −4.93754 | − | 2.59142i | −0.361069 | − | 0.189504i | ||||
\(188\) | −7.05231 | −0.514343 | ||||||||
\(189\) | 2.08122 | − | 1.09231i | 0.151387 | − | 0.0794538i | ||||
\(190\) | 26.6789 | − | 23.6354i | 1.93549 | − | 1.71469i | ||||
\(191\) | 0.150679 | 0.0109027 | 0.00545137 | − | 0.999985i | \(-0.498265\pi\) | ||||
0.00545137 | + | 0.999985i | \(0.498265\pi\) | |||||||
\(192\) | −4.37002 | −0.315379 | ||||||||
\(193\) | 6.55412 | − | 5.80645i | 0.471776 | − | 0.417957i | −0.393445 | − | 0.919348i | \(-0.628717\pi\) |
0.865221 | + | 0.501391i | \(0.167178\pi\) | |||||||
\(194\) | 7.17787 | + | 18.9265i | 0.515341 | + | 1.35884i | ||||
\(195\) | −2.92965 | + | 10.5644i | −0.209796 | + | 0.756536i | ||||
\(196\) | 0.314310 | − | 0.828769i | 0.0224507 | − | 0.0591978i | ||||
\(197\) | 7.58918 | + | 20.0110i | 0.540707 | + | 1.42573i | 0.875400 | + | 0.483400i | \(0.160598\pi\) |
−0.334693 | + | 0.942327i | \(0.608632\pi\) | |||||||
\(198\) | −4.08221 | − | 1.00618i | −0.290110 | − | 0.0715058i | ||||
\(199\) | −5.21733 | − | 7.55861i | −0.369847 | − | 0.535815i | 0.593233 | − | 0.805030i | \(-0.297851\pi\) |
−0.963080 | + | 0.269215i | \(0.913236\pi\) | |||||||
\(200\) | −3.39706 | + | 8.95731i | −0.240208 | + | 0.633377i | ||||
\(201\) | 0.321841 | + | 0.848625i | 0.0227009 | + | 0.0598574i | ||||
\(202\) | 1.31524 | + | 10.8320i | 0.0925399 | + | 0.762135i | ||||
\(203\) | −12.4707 | − | 18.0669i | −0.875270 | − | 1.26805i | ||||
\(204\) | 1.24766 | − | 0.307521i | 0.0873539 | − | 0.0215308i | ||||
\(205\) | 3.66359 | + | 3.24565i | 0.255876 | + | 0.226686i | ||||
\(206\) | 6.71098 | − | 17.6954i | 0.467576 | − | 1.23290i | ||||
\(207\) | 0.167129 | + | 0.0411935i | 0.0116163 | + | 0.00286315i | ||||
\(208\) | 8.55332 | − | 15.2135i | 0.593066 | − | 1.05487i | ||||
\(209\) | 18.3992 | − | 4.53500i | 1.27270 | − | 0.313693i | ||||
\(210\) | −1.38926 | + | 11.4416i | −0.0958684 | + | 0.789547i | ||||
\(211\) | −18.6768 | + | 9.80233i | −1.28576 | + | 0.674820i | −0.962447 | − | 0.271471i | \(-0.912490\pi\) |
−0.323316 | + | 0.946291i | \(0.604798\pi\) | |||||||
\(212\) | 0.805157 | + | 2.12302i | 0.0552984 | + | 0.145810i | ||||
\(213\) | −1.08067 | − | 0.266362i | −0.0740465 | − | 0.0182508i | ||||
\(214\) | 4.00478 | − | 3.54793i | 0.273761 | − | 0.242531i | ||||
\(215\) | −18.8274 | − | 4.64053i | −1.28402 | − | 0.316481i | ||||
\(216\) | −1.99805 | + | 1.04866i | −0.135950 | + | 0.0713521i | ||||
\(217\) | −18.2108 | + | 9.55777i | −1.23623 | + | 0.648824i | ||||
\(218\) | −0.956329 | − | 7.87608i | −0.0647708 | − | 0.533435i | ||||
\(219\) | −0.645103 | − | 5.31290i | −0.0435920 | − | 0.359013i | ||||
\(220\) | 3.56471 | − | 3.15806i | 0.240333 | − | 0.212916i | ||||
\(221\) | 2.06084 | − | 7.43149i | 0.138627 | − | 0.499896i | ||||
\(222\) | −0.993277 | − | 0.879966i | −0.0666644 | − | 0.0590595i | ||||
\(223\) | 6.76130 | − | 9.79544i | 0.452770 | − | 0.655951i | −0.528422 | − | 0.848982i | \(-0.677216\pi\) |
0.981193 | + | 0.193031i | \(0.0618316\pi\) | |||||||
\(224\) | 2.74498 | − | 7.23791i | 0.183407 | − | 0.483604i | ||||
\(225\) | 0.511727 | + | 4.21445i | 0.0341152 | + | 0.280964i | ||||
\(226\) | 1.52234 | − | 12.5376i | 0.101265 | − | 0.833991i | ||||
\(227\) | −0.711580 | − | 0.373466i | −0.0472292 | − | 0.0247878i | 0.440943 | − | 0.897535i | \(-0.354644\pi\) |
−0.488172 | + | 0.872747i | \(0.662336\pi\) | |||||||
\(228\) | −2.48065 | + | 3.59384i | −0.164285 | + | 0.238008i | ||||
\(229\) | 3.97121 | + | 10.4712i | 0.262425 | + | 0.691957i | 0.999863 | + | 0.0165429i | \(0.00526600\pi\) |
−0.737438 | + | 0.675414i | \(0.763965\pi\) | |||||||
\(230\) | −0.631787 | + | 0.559714i | −0.0416588 | + | 0.0369065i | ||||
\(231\) | −3.48097 | + | 5.04306i | −0.229031 | + | 0.331809i | ||||
\(232\) | 11.9723 | + | 17.3449i | 0.786020 | + | 1.13875i | ||||
\(233\) | 0.166713 | + | 1.37301i | 0.0109218 | + | 0.0899488i | 0.997150 | − | 0.0754385i | \(-0.0240357\pi\) |
−0.986229 | + | 0.165387i | \(0.947113\pi\) | |||||||
\(234\) | 0.167748 | − | 5.81222i | 0.0109661 | − | 0.379957i | ||||
\(235\) | −4.30232 | + | 35.4328i | −0.280652 | + | 2.31138i | ||||
\(236\) | 4.99046 | − | 2.61919i | 0.324851 | − | 0.170495i | ||||
\(237\) | −5.86067 | − | 15.4533i | −0.380692 | − | 1.00380i | ||||
\(238\) | 0.977270 | − | 8.04854i | 0.0633470 | − | 0.521709i | ||||
\(239\) | −14.0497 | −0.908802 | −0.454401 | − | 0.890797i | \(-0.650147\pi\) | ||||
−0.454401 | + | 0.890797i | \(0.650147\pi\) | |||||||
\(240\) | 1.77412 | − | 14.6112i | 0.114519 | − | 0.943149i | ||||
\(241\) | −14.4124 | − | 20.8799i | −0.928383 | − | 1.34500i | −0.938585 | − | 0.345047i | \(-0.887863\pi\) |
0.0102020 | − | 0.999948i | \(-0.496753\pi\) | |||||||
\(242\) | −6.58154 | + | 1.62221i | −0.423078 | + | 0.104279i | ||||
\(243\) | −0.568065 | + | 0.822984i | −0.0364414 | + | 0.0527944i | ||||
\(244\) | −0.990540 | + | 0.244146i | −0.0634129 | + | 0.0156299i | ||||
\(245\) | −3.97221 | − | 2.08478i | −0.253775 | − | 0.133192i | ||||
\(246\) | −2.29860 | − | 1.20640i | −0.146553 | − | 0.0769172i | ||||
\(247\) | 11.5047 | + | 23.5474i | 0.732029 | + | 1.49828i | ||||
\(248\) | 17.4830 | − | 9.17581i | 1.11017 | − | 0.582664i | ||||
\(249\) | 14.0501 | 0.890386 | ||||||||
\(250\) | 3.27638 | + | 1.71958i | 0.207216 | + | 0.108756i | ||||
\(251\) | 0.550645 | − | 1.45193i | 0.0347564 | − | 0.0916451i | −0.916515 | − | 0.400001i | \(-0.869010\pi\) |
0.951271 | + | 0.308356i | \(0.0997789\pi\) | |||||||
\(252\) | −0.170209 | − | 1.40180i | −0.0107222 | − | 0.0883049i | ||||
\(253\) | −0.435715 | + | 0.107394i | −0.0273932 | + | 0.00675181i | ||||
\(254\) | 17.4443 | − | 4.29965i | 1.09456 | − | 0.269784i | ||||
\(255\) | −0.783926 | − | 6.45621i | −0.0490913 | − | 0.404303i | ||||
\(256\) | −4.69775 | + | 12.3869i | −0.293609 | + | 0.774184i | ||||
\(257\) | 8.18296 | + | 4.29475i | 0.510439 | + | 0.267899i | 0.700220 | − | 0.713927i | \(-0.253085\pi\) |
−0.189781 | + | 0.981827i | \(0.560778\pi\) | |||||||
\(258\) | 10.2845 | 0.640287 | ||||||||
\(259\) | −1.71253 | + | 0.898807i | −0.106412 | + | 0.0558492i | ||||
\(260\) | 5.31028 | + | 3.89631i | 0.329330 | + | 0.241639i | ||||
\(261\) | 8.27004 | + | 4.34045i | 0.511903 | + | 0.268667i | ||||
\(262\) | −23.2206 | − | 12.1871i | −1.43458 | − | 0.752923i | ||||
\(263\) | 0.954373 | − | 0.235232i | 0.0588492 | − | 0.0145050i | −0.209781 | − | 0.977748i | \(-0.567275\pi\) |
0.268630 | + | 0.963243i | \(0.413429\pi\) | |||||||
\(264\) | 3.34186 | − | 4.84152i | 0.205677 | − | 0.297975i | ||||
\(265\) | 11.1579 | − | 2.75016i | 0.685421 | − | 0.168941i | ||||
\(266\) | 15.6515 | + | 22.6751i | 0.959655 | + | 1.39030i | ||||
\(267\) | 1.01734 | − | 8.37857i | 0.0622604 | − | 0.512760i | ||||
\(268\) | 0.545266 | 0.0333074 | ||||||||
\(269\) | 0.160311 | − | 1.32028i | 0.00977433 | − | 0.0804988i | −0.987005 | − | 0.160687i | \(-0.948629\pi\) |
0.996780 | + | 0.0801882i | \(0.0255521\pi\) | |||||||
\(270\) | −1.73884 | − | 4.58494i | −0.105822 | − | 0.279030i | ||||
\(271\) | −0.0386272 | + | 0.0202731i | −0.00234644 | + | 0.00123151i | −0.465896 | − | 0.884839i | \(-0.654268\pi\) |
0.463550 | + | 0.886071i | \(0.346576\pi\) | |||||||
\(272\) | −1.24799 | + | 10.2782i | −0.0756708 | + | 0.623205i | ||||
\(273\) | −7.83396 | − | 3.23251i | −0.474133 | − | 0.195640i | ||||
\(274\) | 1.66743 | + | 13.7326i | 0.100733 | + | 0.829614i | ||||
\(275\) | −6.28736 | − | 9.10882i | −0.379142 | − | 0.549282i | ||||
\(276\) | 0.0587445 | − | 0.0851062i | 0.00353601 | − | 0.00512279i | ||||
\(277\) | 1.40050 | − | 1.24074i | 0.0841482 | − | 0.0745488i | −0.620000 | − | 0.784602i | \(-0.712867\pi\) |
0.704148 | + | 0.710053i | \(0.251329\pi\) | |||||||
\(278\) | 4.33744 | + | 11.4369i | 0.260143 | + | 0.685940i | ||||
\(279\) | 4.97060 | − | 7.20116i | 0.297582 | − | 0.431122i | ||||
\(280\) | −14.2797 | − | 7.49459i | −0.853378 | − | 0.447887i | ||||
\(281\) | −2.70575 | + | 22.2838i | −0.161411 | + | 1.32934i | 0.656643 | + | 0.754201i | \(0.271976\pi\) |
−0.818055 | + | 0.575141i | \(0.804947\pi\) | |||||||
\(282\) | −2.28187 | − | 18.7929i | −0.135883 | − | 1.11910i | ||||
\(283\) | 8.64587 | − | 22.7973i | 0.513944 | − | 1.35516i | −0.387344 | − | 0.921935i | \(-0.626607\pi\) |
0.901287 | − | 0.433222i | \(-0.142623\pi\) | |||||||
\(284\) | −0.379849 | + | 0.550306i | −0.0225399 | + | 0.0326547i | ||||
\(285\) | 16.5431 | + | 14.6559i | 0.979928 | + | 0.868140i | ||||
\(286\) | 6.65463 | + | 13.6204i | 0.393497 | + | 0.805391i | ||||
\(287\) | −2.83201 | + | 2.50894i | −0.167168 | + | 0.148098i | ||||
\(288\) | 0.396974 | + | 3.26938i | 0.0233919 | + | 0.192650i | ||||
\(289\) | −1.49768 | − | 12.3345i | −0.0880986 | − | 0.725557i | ||||
\(290\) | −40.5529 | + | 21.2838i | −2.38135 | + | 1.24983i | ||||
\(291\) | −11.1139 | + | 5.83302i | −0.651508 | + | 0.341938i | ||||
\(292\) | −3.12187 | − | 0.769472i | −0.182694 | − | 0.0450299i | ||||
\(293\) | 8.79685 | − | 7.79333i | 0.513917 | − | 0.455291i | −0.365865 | − | 0.930668i | \(-0.619227\pi\) |
0.879782 | + | 0.475377i | \(0.157688\pi\) | |||||||
\(294\) | 2.31019 | + | 0.569410i | 0.134733 | + | 0.0332087i | ||||
\(295\) | −10.1151 | − | 26.6713i | −0.588923 | − | 1.55286i | ||||
\(296\) | 1.64409 | − | 0.862888i | 0.0955611 | − | 0.0501543i | ||||
\(297\) | 0.314247 | − | 2.58805i | 0.0182344 | − | 0.150174i | ||||
\(298\) | −1.39405 | + | 0.343603i | −0.0807553 | + | 0.0199044i | ||||
\(299\) | −0.272445 | − | 0.557629i | −0.0157559 | − | 0.0322485i | ||||
\(300\) | 2.47642 | + | 0.610383i | 0.142976 | + | 0.0352405i | ||||
\(301\) | 5.31532 | − | 14.0153i | 0.306370 | − | 0.807831i | ||||
\(302\) | 22.8941 | + | 20.2824i | 1.31741 | + | 1.16712i | ||||
\(303\) | −6.56942 | + | 1.61922i | −0.377404 | + | 0.0930216i | ||||
\(304\) | −19.9873 | − | 28.9566i | −1.14635 | − | 1.66077i | ||||
\(305\) | 0.622371 | + | 5.12569i | 0.0356369 | + | 0.293496i | ||||
\(306\) | 1.22318 | + | 3.22525i | 0.0699243 | + | 0.184375i | ||||
\(307\) | 1.55950 | − | 4.11206i | 0.0890053 | − | 0.234688i | −0.883121 | − | 0.469145i | \(-0.844562\pi\) |
0.972126 | + | 0.234457i | \(0.0753313\pi\) | |||||||
\(308\) | 2.09128 | + | 3.02974i | 0.119162 | + | 0.172636i | ||||
\(309\) | 11.3942 | + | 2.80842i | 0.648193 | + | 0.159765i | ||||
\(310\) | 15.2149 | + | 40.1185i | 0.864150 | + | 2.27858i | ||||
\(311\) | −2.50855 | + | 6.61451i | −0.142247 | + | 0.375075i | −0.987139 | − | 0.159862i | \(-0.948895\pi\) |
0.844892 | + | 0.534936i | \(0.179664\pi\) | |||||||
\(312\) | 7.52089 | + | 3.10333i | 0.425787 | + | 0.175691i | ||||
\(313\) | 9.36396 | + | 24.6907i | 0.529282 | + | 1.39560i | 0.886999 | + | 0.461772i | \(0.152786\pi\) |
−0.357717 | + | 0.933830i | \(0.616445\pi\) | |||||||
\(314\) | −18.5722 | + | 16.4535i | −1.04809 | + | 0.928524i | ||||
\(315\) | −7.14685 | −0.402679 | ||||||||
\(316\) | −9.92920 | −0.558561 | ||||||||
\(317\) | 15.1729 | − | 13.4420i | 0.852195 | − | 0.754979i | −0.119094 | − | 0.992883i | \(-0.537999\pi\) |
0.971289 | + | 0.237904i | \(0.0764604\pi\) | |||||||
\(318\) | −5.39688 | + | 2.83250i | −0.302642 | + | 0.158839i | ||||
\(319\) | −24.3496 | −1.36332 | ||||||||
\(320\) | 11.7656 | + | 6.17505i | 0.657716 | + | 0.345196i | ||||
\(321\) | 2.48329 | + | 2.20000i | 0.138604 | + | 0.122792i | ||||
\(322\) | −0.370645 | − | 0.536973i | −0.0206553 | − | 0.0299243i | ||||
\(323\) | −11.6371 | − | 10.3096i | −0.647507 | − | 0.573641i | ||||
\(324\) | 0.341279 | + | 0.494428i | 0.0189599 | + | 0.0274682i | ||||
\(325\) | 10.4768 | − | 11.1599i | 0.581146 | − | 0.619039i | ||||
\(326\) | −13.9675 | + | 20.2355i | −0.773591 | + | 1.12074i | ||||
\(327\) | 4.77672 | − | 1.17736i | 0.264153 | − | 0.0651079i | ||||
\(328\) | 2.71883 | − | 2.40868i | 0.150122 | − | 0.132997i | ||||
\(329\) | −26.7895 | − | 6.60302i | −1.47695 | − | 0.364036i | ||||
\(330\) | 9.56894 | + | 8.47734i | 0.526753 | + | 0.466662i | ||||
\(331\) | 2.40512 | + | 2.13075i | 0.132197 | + | 0.117117i | 0.726631 | − | 0.687028i | \(-0.241085\pi\) |
−0.594433 | + | 0.804145i | \(0.702624\pi\) | |||||||
\(332\) | 2.99319 | − | 7.89240i | 0.164273 | − | 0.433152i | ||||
\(333\) | 0.467432 | − | 0.677193i | 0.0256151 | − | 0.0371099i | ||||
\(334\) | 29.1343 | + | 15.2908i | 1.59416 | + | 0.836677i | ||||
\(335\) | 0.332643 | − | 2.73956i | 0.0181742 | − | 0.149678i | ||||
\(336\) | 11.0470 | + | 2.72285i | 0.602665 | + | 0.148544i | ||||
\(337\) | −28.9924 | −1.57932 | −0.789658 | − | 0.613547i | \(-0.789742\pi\) | ||||
−0.789658 | + | 0.613547i | \(0.789742\pi\) | |||||||
\(338\) | −16.4682 | + | 12.9742i | −0.895753 | + | 0.705701i | ||||
\(339\) | 7.83145 | 0.425346 | ||||||||
\(340\) | −3.79368 | − | 0.935057i | −0.205741 | − | 0.0507106i | ||||
\(341\) | −2.74968 | + | 22.6456i | −0.148903 | + | 1.22633i | ||||
\(342\) | −10.3794 | − | 5.44755i | −0.561256 | − | 0.294570i | ||||
\(343\) | 11.3164 | − | 16.3946i | 0.611028 | − | 0.885227i | ||||
\(344\) | −5.10290 | + | 13.4552i | −0.275130 | + | 0.725458i | ||||
\(345\) | −0.391759 | − | 0.347068i | −0.0210916 | − | 0.0186855i | ||||
\(346\) | 5.96360 | + | 5.28329i | 0.320605 | + | 0.284031i | ||||
\(347\) | 33.7674 | + | 8.32291i | 1.81273 | + | 0.446797i | 0.992184 | − | 0.124787i | \(-0.0398249\pi\) |
0.820543 | + | 0.571584i | \(0.193671\pi\) | |||||||
\(348\) | 4.20001 | − | 3.72088i | 0.225144 | − | 0.199460i | ||||
\(349\) | 23.0483 | − | 5.68090i | 1.23375 | − | 0.304092i | 0.432066 | − | 0.901842i | \(-0.357785\pi\) |
0.801682 | + | 0.597750i | \(0.203939\pi\) | |||||||
\(350\) | 9.14155 | − | 13.2438i | 0.488637 | − | 0.707912i | ||||
\(351\) | 3.59031 | − | 0.331161i | 0.191637 | − | 0.0176761i | ||||
\(352\) | −4.87744 | − | 7.06619i | −0.259968 | − | 0.376629i | ||||
\(353\) | −1.98896 | − | 1.76207i | −0.105862 | − | 0.0937855i | 0.608532 | − | 0.793530i | \(-0.291759\pi\) |
−0.714394 | + | 0.699744i | \(0.753297\pi\) | |||||||
\(354\) | 8.59431 | + | 12.4510i | 0.456783 | + | 0.661764i | ||||
\(355\) | 2.53316 | + | 2.24418i | 0.134446 | + | 0.119109i | ||||
\(356\) | −4.48980 | − | 2.35643i | −0.237959 | − | 0.124890i | ||||
\(357\) | 5.02741 | 0.266079 | ||||||||
\(358\) | 37.2197 | − | 19.5344i | 1.96712 | − | 1.03243i | ||||
\(359\) | 1.93032 | − | 1.71011i | 0.101878 | − | 0.0902562i | −0.610646 | − | 0.791904i | \(-0.709090\pi\) |
0.712524 | + | 0.701647i | \(0.247552\pi\) | |||||||
\(360\) | 6.86123 | 0.361619 | ||||||||
\(361\) | 33.8337 | 1.78072 | ||||||||
\(362\) | 13.6007 | − | 12.0491i | 0.714836 | − | 0.633289i | ||||
\(363\) | −1.49049 | − | 3.93009i | −0.0782302 | − | 0.206276i | ||||
\(364\) | −3.48474 | + | 3.71196i | −0.182650 | + | 0.194559i | ||||
\(365\) | −5.77056 | + | 15.2157i | −0.302045 | + | 0.796427i | ||||
\(366\) | −0.971099 | − | 2.56058i | −0.0507602 | − | 0.133844i | ||||
\(367\) | −7.83278 | − | 1.93061i | −0.408868 | − | 0.100777i | 0.0295170 | − | 0.999564i | \(-0.490603\pi\) |
−0.438385 | + | 0.898787i | \(0.644449\pi\) | |||||||
\(368\) | 0.473322 | + | 0.685725i | 0.0246736 | + | 0.0357459i | ||||
\(369\) | 0.570808 | − | 1.50510i | 0.0297151 | − | 0.0783522i | ||||
\(370\) | 1.43080 | + | 3.77272i | 0.0743839 | + | 0.196134i | ||||
\(371\) | 1.07077 | + | 8.81856i | 0.0555914 | + | 0.457837i | ||||
\(372\) | −2.98621 | − | 4.32627i | −0.154828 | − | 0.224307i | ||||
\(373\) | −5.00390 | + | 1.23335i | −0.259092 | + | 0.0638605i | −0.366722 | − | 0.930331i | \(-0.619520\pi\) |
0.107630 | + | 0.994191i | \(0.465674\pi\) | |||||||
\(374\) | −6.73121 | − | 5.96333i | −0.348063 | − | 0.308357i | ||||
\(375\) | −0.813618 | + | 2.14533i | −0.0420150 | + | 0.110785i | ||||
\(376\) | 25.7189 | + | 6.33914i | 1.32635 | + | 0.326916i | ||||
\(377\) | −7.11241 | − | 32.9157i | −0.366308 | − | 1.69525i | ||||
\(378\) | 3.68041 | − | 0.907139i | 0.189300 | − | 0.0466582i | ||||
\(379\) | 3.87422 | − | 31.9070i | 0.199005 | − | 1.63895i | −0.460790 | − | 0.887509i | \(-0.652434\pi\) |
0.659795 | − | 0.751445i | \(-0.270643\pi\) | |||||||
\(380\) | 11.7570 | − | 6.17056i | 0.603122 | − | 0.316543i | ||||
\(381\) | 3.95053 | + | 10.4167i | 0.202392 | + | 0.533663i | ||||
\(382\) | 0.235938 | + | 0.0581534i | 0.0120716 | + | 0.00297539i | ||||
\(383\) | 21.1519 | − | 18.7389i | 1.08081 | − | 0.957515i | 0.0815782 | − | 0.996667i | \(-0.474004\pi\) |
0.999233 | + | 0.0391516i | \(0.0124655\pi\) | |||||||
\(384\) | −13.2381 | − | 3.26289i | −0.675553 | − | 0.166509i | ||||
\(385\) | 16.4981 | − | 8.65885i | 0.840819 | − | 0.441296i | ||||
\(386\) | 12.5036 | − | 6.56239i | 0.636416 | − | 0.334017i | ||||
\(387\) | 0.768692 | + | 6.33075i | 0.0390748 | + | 0.321810i | ||||
\(388\) | 0.908930 | + | 7.48571i | 0.0461439 | + | 0.380029i | ||||
\(389\) | −24.0360 | + | 21.2941i | −1.21868 | + | 1.07965i | −0.224215 | + | 0.974540i | \(0.571982\pi\) |
−0.994460 | + | 0.105113i | \(0.966480\pi\) | |||||||
\(390\) | −8.66459 | + | 15.4114i | −0.438749 | + | 0.780389i | ||||
\(391\) | 0.275581 | + | 0.244143i | 0.0139367 | + | 0.0123468i | ||||
\(392\) | −1.89121 | + | 2.73989i | −0.0955205 | + | 0.138385i | ||||
\(393\) | 5.76634 | − | 15.2046i | 0.290873 | − | 0.766970i | ||||
\(394\) | 4.16026 | + | 34.2629i | 0.209591 | + | 1.72614i | ||||
\(395\) | −6.05738 | + | 49.8870i | −0.304780 | + | 2.51009i | ||||
\(396\) | −1.38685 | − | 0.727876i | −0.0696919 | − | 0.0365771i | ||||
\(397\) | 19.6198 | − | 28.4241i | 0.984688 | − | 1.42657i | 0.0818208 | − | 0.996647i | \(-0.473926\pi\) |
0.902867 | − | 0.429920i | \(-0.141458\pi\) | |||||||
\(398\) | −5.25226 | − | 13.8491i | −0.263272 | − | 0.694192i | ||||
\(399\) | −12.7881 | + | 11.3292i | −0.640204 | + | 0.567171i | ||||
\(400\) | −11.6740 | + | 16.9126i | −0.583698 | + | 0.845632i | ||||
\(401\) | −17.8762 | − | 25.8981i | −0.892695 | − | 1.29329i | −0.955417 | − | 0.295261i | \(-0.904593\pi\) |
0.0627219 | − | 0.998031i | \(-0.480022\pi\) | |||||||
\(402\) | 0.176428 | + | 1.45301i | 0.00879942 | + | 0.0724698i | ||||
\(403\) | −31.4154 | + | 2.89768i | −1.56491 | + | 0.144344i | ||||
\(404\) | −0.489965 | + | 4.03522i | −0.0243767 | + | 0.200760i | ||||
\(405\) | 2.69234 | − | 1.41305i | 0.133783 | − | 0.0702150i | ||||
\(406\) | −12.5542 | − | 33.1026i | −0.623053 | − | 1.64286i | ||||
\(407\) | −0.258578 | + | 2.12958i | −0.0128172 | + | 0.105559i | ||||
\(408\) | −4.82649 | −0.238947 | ||||||||
\(409\) | 1.79118 | − | 14.7517i | 0.0885679 | − | 0.729422i | −0.879002 | − | 0.476818i | \(-0.841790\pi\) |
0.967570 | − | 0.252604i | \(-0.0812870\pi\) | |||||||
\(410\) | 4.48392 | + | 6.49608i | 0.221445 | + | 0.320818i | ||||
\(411\) | −8.32859 | + | 2.05281i | −0.410819 | + | 0.101258i | ||||
\(412\) | 4.00497 | − | 5.80221i | 0.197311 | − | 0.285854i | ||||
\(413\) | 21.4095 | − | 5.27697i | 1.05349 | − | 0.259663i | ||||
\(414\) | 0.245797 | + | 0.129004i | 0.0120803 | + | 0.00634021i | ||||
\(415\) | −37.8275 | − | 19.8534i | −1.85688 | − | 0.974566i | ||||
\(416\) | 8.12738 | − | 8.65731i | 0.398477 | − | 0.424460i | ||||
\(417\) | −6.71591 | + | 3.52478i | −0.328879 | + | 0.172609i | ||||
\(418\) | 30.5603 | 1.49475 | ||||||||
\(419\) | −26.3397 | − | 13.8241i | −1.28678 | − | 0.675353i | −0.324105 | − | 0.946021i | \(-0.605063\pi\) |
−0.962673 | + | 0.270668i | \(0.912756\pi\) | |||||||
\(420\) | −1.52255 | + | 4.01463i | −0.0742927 | + | 0.195894i | ||||
\(421\) | −3.81663 | − | 31.4328i | −0.186011 | − | 1.53194i | −0.724482 | − | 0.689294i | \(-0.757921\pi\) |
0.538471 | − | 0.842644i | \(-0.319002\pi\) | |||||||
\(422\) | −33.0278 | + | 8.14062i | −1.60777 | + | 0.396279i | ||||
\(423\) | 11.3976 | − | 2.80926i | 0.554170 | − | 0.136591i | ||||
\(424\) | −1.02798 | − | 8.46614i | −0.0499229 | − | 0.411152i | ||||
\(425\) | −3.22001 | + | 8.49046i | −0.156193 | + | 0.411848i | ||||
\(426\) | −1.58935 | − | 0.834156i | −0.0770043 | − | 0.0404150i | ||||
\(427\) | −3.99134 | −0.193155 | ||||||||
\(428\) | 1.76485 | − | 0.926266i | 0.0853073 | − | 0.0447727i | ||||
\(429\) | −7.88679 | + | 5.11435i | −0.380778 | + | 0.246923i | ||||
\(430\) | −27.6895 | − | 14.5326i | −1.33530 | − | 0.700822i | ||||
\(431\) | 19.4789 | + | 10.2233i | 0.938264 | + | 0.492439i | 0.863269 | − | 0.504745i | \(-0.168413\pi\) |
0.0749958 | + | 0.997184i | \(0.476106\pi\) | |||||||
\(432\) | −4.69996 | + | 1.15844i | −0.226127 | + | 0.0557353i | ||||
\(433\) | 6.14929 | − | 8.90878i | 0.295516 | − | 0.428129i | −0.646898 | − | 0.762576i | \(-0.723934\pi\) |
0.942414 | + | 0.334447i | \(0.108550\pi\) | |||||||
\(434\) | −32.2038 | + | 7.93752i | −1.54583 | + | 0.381013i | ||||
\(435\) | −16.1325 | − | 23.3720i | −0.773494 | − | 1.12060i | ||||
\(436\) | 0.356260 | − | 2.93407i | 0.0170618 | − | 0.140516i | ||||
\(437\) | −1.25116 | −0.0598512 | ||||||||
\(438\) | 1.04035 | − | 8.56808i | 0.0497100 | − | 0.409398i | ||||
\(439\) | −6.97031 | − | 18.3792i | −0.332675 | − | 0.877191i | −0.992103 | − | 0.125424i | \(-0.959971\pi\) |
0.659429 | − | 0.751767i | \(-0.270798\pi\) | |||||||
\(440\) | −15.8387 | + | 8.31281i | −0.755082 | + | 0.396297i | ||||
\(441\) | −0.177837 | + | 1.46462i | −0.00846842 | + | 0.0697437i | ||||
\(442\) | 6.09506 | − | 10.8411i | 0.289912 | − | 0.515658i | ||||
\(443\) | −0.542889 | − | 4.47109i | −0.0257934 | − | 0.212428i | 0.974114 | − | 0.226059i | \(-0.0725841\pi\) |
−0.999907 | + | 0.0136307i | \(0.995661\pi\) | |||||||
\(444\) | −0.280821 | − | 0.406840i | −0.0133272 | − | 0.0193078i | ||||
\(445\) | −14.5784 | + | 21.1204i | −0.691081 | + | 1.00120i | ||||
\(446\) | 14.3675 | − | 12.7285i | 0.680322 | − | 0.602713i | ||||
\(447\) | −0.315703 | − | 0.832441i | −0.0149323 | − | 0.0393731i | ||||
\(448\) | −5.83489 | + | 8.45329i | −0.275673 | + | 0.399381i | ||||
\(449\) | 8.78218 | + | 4.60924i | 0.414457 | + | 0.217524i | 0.659045 | − | 0.752103i | \(-0.270961\pi\) |
−0.244589 | + | 0.969627i | \(0.578653\pi\) | |||||||
\(450\) | −0.825258 | + | 6.79661i | −0.0389031 | + | 0.320395i | ||||
\(451\) | 0.505843 | + | 4.16599i | 0.0238192 | + | 0.196169i | ||||
\(452\) | 1.66839 | − | 4.39919i | 0.0784747 | − | 0.206921i | ||||
\(453\) | −10.7739 | + | 15.6087i | −0.506201 | + | 0.733359i | ||||
\(454\) | −0.970077 | − | 0.859413i | −0.0455280 | − | 0.0403343i | ||||
\(455\) | 16.5240 | + | 19.7728i | 0.774657 | + | 0.926963i | ||||
\(456\) | 12.2770 | − | 10.8765i | 0.574923 | − | 0.509338i | ||||
\(457\) | −0.532209 | − | 4.38313i | −0.0248957 | − | 0.205034i | 0.974953 | − | 0.222409i | \(-0.0713922\pi\) |
−0.999849 | + | 0.0173750i | \(0.994469\pi\) | |||||||
\(458\) | 2.17695 | + | 17.9288i | 0.101722 | + | 0.837758i | ||||
\(459\) | −1.89391 | + | 0.994001i | −0.0884002 | + | 0.0463960i | ||||
\(460\) | −0.278420 | + | 0.146126i | −0.0129814 | + | 0.00681315i | ||||
\(461\) | −4.72103 | − | 1.16363i | −0.219880 | − | 0.0541957i | 0.127836 | − | 0.991795i | \(-0.459197\pi\) |
−0.347717 | + | 0.937600i | \(0.613043\pi\) | |||||||
\(462\) | −7.39694 | + | 6.55312i | −0.344137 | + | 0.304879i | ||||
\(463\) | 8.84902 | + | 2.18109i | 0.411249 | + | 0.101364i | 0.439512 | − | 0.898237i | \(-0.355151\pi\) |
−0.0282631 | + | 0.999601i | \(0.508998\pi\) | |||||||
\(464\) | 16.0320 | + | 42.2728i | 0.744265 | + | 1.96246i | ||||
\(465\) | −23.5581 | + | 12.3643i | −1.09248 | + | 0.573379i | ||||
\(466\) | −0.268857 | + | 2.21424i | −0.0124546 | + | 0.102573i | ||||
\(467\) | 1.06091 | − | 0.261490i | 0.0490928 | − | 0.0121003i | −0.214693 | − | 0.976682i | \(-0.568875\pi\) |
0.263786 | + | 0.964581i | \(0.415029\pi\) | |||||||
\(468\) | 0.578847 | − | 2.08735i | 0.0267572 | − | 0.0964878i | ||||
\(469\) | 2.07129 | + | 0.510528i | 0.0956434 | + | 0.0235740i | ||||
\(470\) | −20.4117 | + | 53.8212i | −0.941522 | + | 2.48259i | ||||
\(471\) | −11.5162 | − | 10.2025i | −0.530641 | − | 0.470106i | ||||
\(472\) | −20.5539 | + | 5.06608i | −0.946070 | + | 0.233185i | ||||
\(473\) | −9.44457 | − | 13.6828i | −0.434262 | − | 0.629137i | ||||
\(474\) | −3.21272 | − | 26.4592i | −0.147565 | − | 1.21531i | ||||
\(475\) | −10.9426 | − | 28.8532i | −0.502080 | − | 1.32388i | ||||
\(476\) | 1.07103 | − | 2.82407i | 0.0490904 | − | 0.129441i | ||||
\(477\) | −2.14695 | − | 3.11040i | −0.0983021 | − | 0.142415i | ||||
\(478\) | −21.9995 | − | 5.42239i | −1.00623 | − | 0.248014i | ||||
\(479\) | 2.26804 | + | 5.98032i | 0.103629 | + | 0.273248i | 0.976795 | − | 0.214175i | \(-0.0687063\pi\) |
−0.873166 | + | 0.487423i | \(0.837937\pi\) | |||||||
\(480\) | 3.55100 | − | 9.36322i | 0.162080 | − | 0.427370i | ||||
\(481\) | −2.95429 | + | 0.272496i | −0.134704 | + | 0.0124247i | ||||
\(482\) | −14.5089 | − | 38.2568i | −0.660862 | − | 1.74255i | ||||
\(483\) | 0.302836 | − | 0.268289i | 0.0137795 | − | 0.0122076i | ||||
\(484\) | −2.52519 | −0.114782 | ||||||||
\(485\) | 38.1648 | 1.73297 | ||||||||
\(486\) | −1.20712 | + | 1.06941i | −0.0547559 | + | 0.0485095i | ||||
\(487\) | −18.6462 | + | 9.78627i | −0.844939 | + | 0.443458i | −0.830886 | − | 0.556443i | \(-0.812166\pi\) |
−0.0140534 | + | 0.999901i | \(0.504473\pi\) | |||||||
\(488\) | 3.83183 | 0.173459 | ||||||||
\(489\) | −13.5001 | − | 7.08541i | −0.610497 | − | 0.320414i | ||||
\(490\) | −5.41521 | − | 4.79745i | −0.244634 | − | 0.216727i | ||||
\(491\) | −4.73531 | − | 6.86028i | −0.213702 | − | 0.309600i | 0.701443 | − | 0.712725i | \(-0.252539\pi\) |
−0.915145 | + | 0.403125i | \(0.867924\pi\) | |||||||
\(492\) | −0.723861 | − | 0.641285i | −0.0326342 | − | 0.0289113i | ||||
\(493\) | 11.3483 | + | 16.4409i | 0.511102 | + | 0.740459i | ||||
\(494\) | 8.92653 | + | 41.3113i | 0.401624 | + | 1.85869i | ||||
\(495\) | −4.50311 | + | 6.52387i | −0.202400 | + | 0.293226i | ||||
\(496\) | 41.1249 | − | 10.1364i | 1.84656 | − | 0.455137i | ||||
\(497\) | −1.95817 | + | 1.73479i | −0.0878360 | + | 0.0778159i | ||||
\(498\) | 22.0000 | + | 5.42251i | 0.985844 | + | 0.242989i | ||||
\(499\) | 25.8883 | + | 22.9350i | 1.15892 | + | 1.02671i | 0.999218 | + | 0.0395468i | \(0.0125914\pi\) |
0.159701 | + | 0.987165i | \(0.448947\pi\) | |||||||
\(500\) | 1.03178 | + | 0.914073i | 0.0461424 | + | 0.0408786i | ||||
\(501\) | −7.23486 | + | 19.0768i | −0.323230 | + | 0.852287i | ||||
\(502\) | 1.42258 | − | 2.06096i | 0.0634927 | − | 0.0919851i | ||||
\(503\) | 0.229213 | + | 0.120300i | 0.0102201 | + | 0.00536393i | 0.469825 | − | 0.882759i | \(-0.344317\pi\) |
−0.459605 | + | 0.888123i | \(0.652009\pi\) | |||||||
\(504\) | −0.639307 | + | 5.26517i | −0.0284770 | + | 0.234529i | ||||
\(505\) | 19.9752 | + | 4.92344i | 0.888883 | + | 0.219090i | ||||
\(506\) | −0.723703 | −0.0321725 | ||||||||
\(507\) | −9.21725 | − | 9.16746i | −0.409353 | − | 0.407141i | ||||
\(508\) | 6.69301 | 0.296954 | ||||||||
\(509\) | −29.6690 | − | 7.31276i | −1.31506 | − | 0.324132i | −0.481441 | − | 0.876478i | \(-0.659886\pi\) |
−0.833615 | + | 0.552346i | \(0.813733\pi\) | |||||||
\(510\) | 1.26423 | − | 10.4119i | 0.0559811 | − | 0.461045i | ||||
\(511\) | −11.1385 | − | 5.84596i | −0.492740 | − | 0.258610i | ||||
\(512\) | 3.35378 | − | 4.85878i | 0.148217 | − | 0.214730i | ||||
\(513\) | 2.57751 | − | 6.79633i | 0.113800 | − | 0.300065i | ||||
\(514\) | 11.1556 | + | 9.88300i | 0.492052 | + | 0.435920i | ||||
\(515\) | −26.7086 | − | 23.6618i | −1.17692 | − | 1.04266i | ||||
\(516\) | 3.71996 | + | 0.916887i | 0.163762 | + | 0.0403637i | ||||
\(517\) | −22.9071 | + | 20.2939i | −1.00745 | + | 0.892524i | ||||
\(518\) | −3.02842 | + | 0.746440i | −0.133061 | + | 0.0327967i | ||||
\(519\) | −2.80645 | + | 4.06584i | −0.123189 | + | 0.178471i | ||||
\(520\) | −15.8636 | − | 18.9826i | −0.695667 | − | 0.832442i | ||||
\(521\) | −17.8338 | − | 25.8367i | −0.781312 | − | 1.13193i | −0.988141 | − | 0.153549i | \(-0.950930\pi\) |
0.206829 | − | 0.978377i | \(-0.433686\pi\) | |||||||
\(522\) | 11.2743 | + | 9.98817i | 0.493463 | + | 0.437170i | ||||
\(523\) | 17.8364 | + | 25.8405i | 0.779931 | + | 1.12992i | 0.988397 | + | 0.151895i | \(0.0485376\pi\) |
−0.208466 | + | 0.978030i | \(0.566847\pi\) | |||||||
\(524\) | −7.31249 | − | 6.47830i | −0.319448 | − | 0.283006i | ||||
\(525\) | 8.83563 | + | 4.63730i | 0.385619 | + | 0.202388i | ||||
\(526\) | 1.58517 | 0.0691168 | ||||||||
\(527\) | 16.5718 | − | 8.69757i | 0.721880 | − | 0.378872i | ||||
\(528\) | 9.44605 | − | 8.36847i | 0.411087 | − | 0.364191i | ||||
\(529\) | −22.9704 | −0.998712 | ||||||||
\(530\) | 18.5327 | 0.805009 | ||||||||
\(531\) | −7.02199 | + | 6.22094i | −0.304728 | + | 0.269966i | ||||
\(532\) | 3.63968 | + | 9.59704i | 0.157800 | + | 0.416085i | ||||
\(533\) | −5.48382 | + | 1.90066i | −0.237531 | + | 0.0823269i | ||||
\(534\) | 4.82663 | − | 12.7268i | 0.208869 | − | 0.550742i | ||||
\(535\) | −3.57715 | − | 9.43218i | −0.154654 | − | 0.407788i | ||||
\(536\) | −1.98852 | − | 0.490125i | −0.0858908 | − | 0.0211702i | ||||
\(537\) | 14.8065 | + | 21.4509i | 0.638948 | + | 0.925677i | ||||
\(538\) | 0.760571 | − | 2.00546i | 0.0327905 | − | 0.0864616i | ||||
\(539\) | −1.36395 | − | 3.59644i | −0.0587495 | − | 0.154910i | ||||
\(540\) | −0.220188 | − | 1.81341i | −0.00947539 | − | 0.0780368i | ||||
\(541\) | 9.76302 | + | 14.1442i | 0.419745 | + | 0.608105i | 0.974630 | − | 0.223821i | \(-0.0718532\pi\) |
−0.554885 | + | 0.831927i | \(0.687238\pi\) | |||||||
\(542\) | −0.0683080 | + | 0.0168364i | −0.00293408 | + | 0.000723185i | ||||
\(543\) | 8.43352 | + | 7.47145i | 0.361917 | + | 0.320631i | ||||
\(544\) | −2.49793 | + | 6.58650i | −0.107098 | + | 0.282394i | ||||
\(545\) | −14.5242 | − | 3.57990i | −0.622149 | − | 0.153346i | ||||
\(546\) | −11.0191 | − | 8.08502i | −0.471574 | − | 0.346007i | ||||
\(547\) | 3.87193 | − | 0.954346i | 0.165552 | − | 0.0408049i | −0.155668 | − | 0.987809i | \(-0.549753\pi\) |
0.321220 | + | 0.947004i | \(0.395907\pi\) | |||||||
\(548\) | −0.621168 | + | 5.11578i | −0.0265350 | + | 0.218535i | ||||
\(549\) | 1.50361 | − | 0.789154i | 0.0641724 | − | 0.0336803i | ||||
\(550\) | −6.32946 | − | 16.6894i | −0.269889 | − | 0.711639i | ||||
\(551\) | −65.9158 | − | 16.2468i | −2.80811 | − | 0.692136i | ||||
\(552\) | −0.290734 | + | 0.257567i | −0.0123744 | + | 0.0109628i | ||||
\(553\) | −37.7179 | − | 9.29662i | −1.60393 | − | 0.395333i | ||||
\(554\) | 2.67181 | − | 1.40227i | 0.113514 | − | 0.0595768i | ||||
\(555\) | −2.21539 | + | 1.16273i | −0.0940382 | + | 0.0493551i | ||||
\(556\) | 0.549248 | + | 4.52347i | 0.0232933 | + | 0.191838i | ||||
\(557\) | 2.73060 | + | 22.4885i | 0.115699 | + | 0.952868i | 0.928758 | + | 0.370687i | \(0.120878\pi\) |
−0.813059 | + | 0.582182i | \(0.802199\pi\) | |||||||
\(558\) | 10.5623 | − | 9.35742i | 0.447140 | − | 0.396131i | ||||
\(559\) | 15.7377 | − | 16.7638i | 0.665633 | − | 0.709035i | ||||
\(560\) | −25.8948 | − | 22.9408i | −1.09426 | − | 0.969427i | ||||
\(561\) | 3.16768 | − | 4.58918i | 0.133740 | − | 0.193755i | ||||
\(562\) | −12.8370 | + | 33.8484i | −0.541497 | + | 1.42781i | ||||
\(563\) | −1.29463 | − | 10.6623i | −0.0545623 | − | 0.449361i | −0.994230 | − | 0.107272i | \(-0.965789\pi\) |
0.939667 | − | 0.342089i | \(-0.111135\pi\) | |||||||
\(564\) | 0.850063 | − | 7.00089i | 0.0357941 | − | 0.294791i | ||||
\(565\) | −21.0849 | − | 11.0662i | −0.887050 | − | 0.465560i | ||||
\(566\) | 22.3364 | − | 32.3599i | 0.938869 | − | 1.36019i | ||||
\(567\) | 0.833482 | + | 2.19771i | 0.0350029 | + | 0.0922952i | ||||
\(568\) | 1.87992 | − | 1.66546i | 0.0788795 | − | 0.0698812i | ||||
\(569\) | −14.8512 | + | 21.5157i | −0.622596 | + | 0.901986i | −0.999708 | − | 0.0241817i | \(-0.992302\pi\) |
0.377112 | + | 0.926168i | \(0.376917\pi\) | |||||||
\(570\) | 20.2473 | + | 29.3333i | 0.848067 | + | 1.22864i | ||||
\(571\) | 2.51767 | + | 20.7349i | 0.105361 | + | 0.867727i | 0.945560 | + | 0.325449i | \(0.105515\pi\) |
−0.840199 | + | 0.542279i | \(0.817562\pi\) | |||||||
\(572\) | 1.19272 | + | 5.51983i | 0.0498702 | + | 0.230796i | ||||
\(573\) | −0.0181623 | + | 0.149580i | −0.000758743 | + | 0.00624881i | ||||
\(574\) | −5.40275 | + | 2.83558i | −0.225507 | + | 0.118355i | ||||
\(575\) | 0.259133 | + | 0.683277i | 0.0108066 | + | 0.0284946i | ||||
\(576\) | 0.526748 | − | 4.33816i | 0.0219478 | − | 0.180757i | ||||
\(577\) | −22.1643 | −0.922712 | −0.461356 | − | 0.887215i | \(-0.652637\pi\) | ||||
−0.461356 | + | 0.887215i | \(0.652637\pi\) | |||||||
\(578\) | 2.41529 | − | 19.8917i | 0.100463 | − | 0.827386i | ||||
\(579\) | 4.97410 | + | 7.20623i | 0.206717 | + | 0.299481i | ||||
\(580\) | −16.5657 | + | 4.08307i | −0.687851 | + | 0.169540i | ||||
\(581\) | 18.7598 | − | 27.1782i | 0.778286 | − | 1.12754i | ||||
\(582\) | −19.6537 | + | 4.84420i | −0.814672 | + | 0.200799i | ||||
\(583\) | 8.72454 | + | 4.57899i | 0.361334 | + | 0.189642i | ||||
\(584\) | 10.6934 | + | 5.61233i | 0.442496 | + | 0.232240i | ||||
\(585\) | −10.1343 | − | 4.18169i | −0.419001 | − | 0.172892i | ||||
\(586\) | 16.7821 | − | 8.80795i | 0.693264 | − | 0.363853i | ||||
\(587\) | −8.06250 | −0.332775 | −0.166388 | − | 0.986060i | \(-0.553210\pi\) | ||||
−0.166388 | + | 0.986060i | \(0.553210\pi\) | |||||||
\(588\) | 0.784840 | + | 0.411916i | 0.0323663 | + | 0.0169871i | ||||
\(589\) | −22.5533 | + | 59.4683i | −0.929295 | + | 2.45035i | ||||
\(590\) | −5.54492 | − | 45.6665i | −0.228281 | − | 1.88006i | ||||
\(591\) | −20.7799 | + | 5.12179i | −0.854771 | + | 0.210682i | ||||
\(592\) | 3.86736 | − | 0.953219i | 0.158948 | − | 0.0391771i | ||||
\(593\) | −0.366718 | − | 3.02019i | −0.0150593 | − | 0.124024i | 0.983240 | − | 0.182313i | \(-0.0583586\pi\) |
−0.998300 | + | 0.0582891i | \(0.981435\pi\) | |||||||
\(594\) | 1.49090 | − | 3.93117i | 0.0611722 | − | 0.161298i | ||||
\(595\) | −13.5355 | − | 7.10397i | −0.554901 | − | 0.291235i | ||||
\(596\) | −0.534867 | −0.0219090 | ||||||||
\(597\) | 8.13237 | − | 4.26820i | 0.332836 | − | 0.174686i | ||||
\(598\) | −0.211390 | − | 0.978300i | −0.00864440 | − | 0.0400057i | ||||
\(599\) | 40.3307 | + | 21.1672i | 1.64787 | + | 0.864868i | 0.994135 | + | 0.108144i | \(0.0344907\pi\) |
0.653734 | + | 0.756725i | \(0.273202\pi\) | |||||||
\(600\) | −8.48253 | − | 4.45198i | −0.346298 | − | 0.181751i | ||||
\(601\) | 17.9483 | − | 4.42386i | 0.732127 | − | 0.180453i | 0.144408 | − | 0.989518i | \(-0.453872\pi\) |
0.587719 | + | 0.809065i | \(0.300026\pi\) | |||||||
\(602\) | 13.7320 | − | 19.8942i | 0.559675 | − | 0.810829i | ||||
\(603\) | −0.881231 | + | 0.217204i | −0.0358865 | + | 0.00884523i | ||||
\(604\) | 6.47267 | + | 9.37728i | 0.263369 | + | 0.381556i | ||||
\(605\) | −1.54051 | + | 12.6873i | −0.0626308 | + | 0.515811i | ||||
\(606\) | −10.9115 | −0.443250 | ||||||||
\(607\) | 2.85341 | − | 23.5000i | 0.115816 | − | 0.953834i | −0.812736 | − | 0.582632i | \(-0.802023\pi\) |
0.928552 | − | 0.371202i | \(-0.121054\pi\) | |||||||
\(608\) | −8.48873 | − | 22.3830i | −0.344264 | − | 0.907749i | ||||
\(609\) | 19.4383 | − | 10.2020i | 0.787681 | − | 0.413407i | ||||
\(610\) | −1.00369 | + | 8.26616i | −0.0406384 | + | 0.334687i | ||||
\(611\) | −34.1243 | − | 25.0379i | −1.38052 | − | 1.01293i | ||||
\(612\) | 0.154890 | + | 1.27563i | 0.00626106 | + | 0.0515644i | ||||
\(613\) | −6.48058 | − | 9.38874i | −0.261748 | − | 0.379208i | 0.669971 | − | 0.742387i | \(-0.266307\pi\) |
−0.931719 | + | 0.363180i | \(0.881691\pi\) | |||||||
\(614\) | 4.02893 | − | 5.83691i | 0.162594 | − | 0.235559i | ||||
\(615\) | −3.66359 | + | 3.24565i | −0.147730 | + | 0.130877i | ||||
\(616\) | −4.90328 | − | 12.9289i | −0.197559 | − | 0.520919i | ||||
\(617\) | 19.9550 | − | 28.9098i | 0.803359 | − | 1.16387i | −0.180262 | − | 0.983619i | \(-0.557695\pi\) |
0.983621 | − | 0.180248i | \(-0.0576900\pi\) | |||||||
\(618\) | 16.7575 | + | 8.79500i | 0.674084 | + | 0.353787i | ||||
\(619\) | −4.80465 | + | 39.5698i | −0.193115 | + | 1.59045i | 0.497657 | + | 0.867374i | \(0.334194\pi\) |
−0.690772 | + | 0.723072i | \(0.742729\pi\) | |||||||
\(620\) | 1.92666 | + | 15.8675i | 0.0773765 | + | 0.637253i | ||||
\(621\) | −0.0610383 | + | 0.160945i | −0.00244938 | + | 0.00645850i | ||||
\(622\) | −6.48079 | + | 9.38904i | −0.259856 | + | 0.376466i | ||||
\(623\) | −14.8490 | − | 13.1551i | −0.594913 | − | 0.527047i | ||||
\(624\) | 14.0716 | + | 10.3247i | 0.563315 | + | 0.413321i | ||||
\(625\) | 21.1107 | − | 18.7024i | 0.844427 | − | 0.748097i | ||||
\(626\) | 5.13316 | + | 42.2754i | 0.205163 | + | 1.68967i | ||||
\(627\) | 2.28416 | + | 18.8117i | 0.0912204 | + | 0.751268i | ||||
\(628\) | −8.18449 | + | 4.29555i | −0.326597 | + | 0.171411i | ||||
\(629\) | 1.55841 | − | 0.817914i | 0.0621377 | − | 0.0326124i | ||||
\(630\) | −11.1907 | − | 2.75827i | −0.445850 | − | 0.109892i | ||||
\(631\) | −3.38655 | + | 3.00022i | −0.134816 | + | 0.119437i | −0.727836 | − | 0.685751i | \(-0.759474\pi\) |
0.593020 | + | 0.805188i | \(0.297935\pi\) | |||||||
\(632\) | 36.2105 | + | 8.92510i | 1.44038 | + | 0.355021i | ||||
\(633\) | −7.47963 | − | 19.7222i | −0.297288 | − | 0.783885i | ||||
\(634\) | 28.9460 | − | 15.1920i | 1.14959 | − | 0.603353i | ||||
\(635\) | 4.08312 | − | 33.6275i | 0.162034 | − | 1.33447i | ||||
\(636\) | −2.20460 | + | 0.543384i | −0.0874179 | + | 0.0215466i | ||||
\(637\) | 4.46325 | − | 2.89429i | 0.176841 | − | 0.114676i | ||||
\(638\) | −38.1273 | − | 9.39755i | −1.50948 | − | 0.372052i | ||||
\(639\) | 0.394681 | − | 1.04069i | 0.0156133 | − | 0.0411690i | ||||
\(640\) | 31.0308 | + | 27.4909i | 1.22660 | + | 1.08667i | ||||
\(641\) | −26.5456 | + | 6.54291i | −1.04849 | + | 0.258429i | −0.725678 | − | 0.688034i | \(-0.758474\pi\) |
−0.322811 | + | 0.946463i | \(0.604628\pi\) | |||||||
\(642\) | 3.03934 | + | 4.40324i | 0.119953 | + | 0.173782i | ||||
\(643\) | −4.47147 | − | 36.8258i | −0.176337 | − | 1.45227i | −0.765073 | − | 0.643943i | \(-0.777297\pi\) |
0.588736 | − | 0.808326i | \(-0.299626\pi\) | |||||||
\(644\) | −0.0861918 | − | 0.227269i | −0.00339643 | − | 0.00895565i | ||||
\(645\) | 6.87608 | − | 18.1307i | 0.270745 | − | 0.713897i | ||||
\(646\) | −14.2429 | − | 20.6343i | −0.560378 | − | 0.811847i | ||||
\(647\) | 32.2383 | + | 7.94602i | 1.26742 | + | 0.312390i | 0.815024 | − | 0.579428i | \(-0.196724\pi\) |
0.452394 | + | 0.891818i | \(0.350570\pi\) | |||||||
\(648\) | −0.800173 | − | 2.10988i | −0.0314338 | − | 0.0828840i | ||||
\(649\) | 8.67277 | − | 22.8682i | 0.340436 | − | 0.897656i | ||||
\(650\) | 20.7119 | − | 13.4310i | 0.812387 | − | 0.526809i | ||||
\(651\) | −7.29301 | − | 19.2301i | −0.285836 | − | 0.753687i | ||||
\(652\) | −6.85615 | + | 6.07402i | −0.268508 | + | 0.237877i | ||||
\(653\) | −36.0232 | −1.40970 | −0.704848 | − | 0.709358i | \(-0.748985\pi\) | ||||
−0.704848 | + | 0.709358i | \(0.748985\pi\) | |||||||
\(654\) | 7.93392 | 0.310241 | ||||||||
\(655\) | −37.0098 | + | 32.7878i | −1.44609 | + | 1.28113i | ||||
\(656\) | 6.89943 | − | 3.62110i | 0.269378 | − | 0.141380i | ||||
\(657\) | 5.35193 | 0.208798 | ||||||||
\(658\) | −39.3994 | − | 20.6784i | −1.53595 | − | 0.806128i | ||||
\(659\) | −3.53652 | − | 3.13308i | −0.137763 | − | 0.122048i | 0.591427 | − | 0.806358i | \(-0.298565\pi\) |
−0.729190 | + | 0.684311i | \(0.760103\pi\) | |||||||
\(660\) | 2.70535 | + | 3.91938i | 0.105306 | + | 0.152562i | ||||
\(661\) | 2.48743 | + | 2.20367i | 0.0967497 | + | 0.0857128i | 0.710111 | − | 0.704090i | \(-0.248645\pi\) |
−0.613361 | + | 0.789802i | \(0.710183\pi\) | |||||||
\(662\) | 2.94366 | + | 4.26463i | 0.114409 | + | 0.165750i | ||||
\(663\) | 7.12890 | + | 2.94158i | 0.276864 | + | 0.114242i | ||||
\(664\) | −18.0101 | + | 26.0921i | −0.698926 | + | 1.01257i | ||||
\(665\) | 50.4386 | − | 12.4320i | 1.95592 | − | 0.482092i | ||||
\(666\) | 0.993277 | − | 0.879966i | 0.0384887 | − | 0.0340980i | ||||
\(667\) | 1.56096 | + | 0.384742i | 0.0604406 | + | 0.0148973i | ||||
\(668\) | 9.17477 | + | 8.12814i | 0.354983 | + | 0.314487i | ||||
\(669\) | 8.90903 | + | 7.89272i | 0.344443 | + | 0.305150i | ||||
\(670\) | 1.57818 | − | 4.16131i | 0.0609703 | − | 0.160765i | ||||
\(671\) | −2.51488 | + | 3.64343i | −0.0970857 | + | 0.140653i | ||||
\(672\) | 6.85427 | + | 3.59740i | 0.264409 | + | 0.138773i | ||||
\(673\) | −4.55676 | + | 37.5283i | −0.175650 | + | 1.44661i | 0.592101 | + | 0.805864i | \(0.298299\pi\) |
−0.767752 | + | 0.640747i | \(0.778625\pi\) | |||||||
\(674\) | −45.3972 | − | 11.1894i | −1.74863 | − | 0.430999i | ||||
\(675\) | −4.24541 | −0.163406 | ||||||||
\(676\) | −7.11329 | + | 3.22463i | −0.273588 | + | 0.124024i | ||||
\(677\) | −19.7523 | −0.759142 | −0.379571 | − | 0.925163i | \(-0.623928\pi\) | ||||
−0.379571 | + | 0.925163i | \(0.623928\pi\) | |||||||
\(678\) | 12.2627 | + | 3.02249i | 0.470947 | + | 0.116078i | ||||
\(679\) | −3.55607 | + | 29.2869i | −0.136469 | + | 1.12393i | ||||
\(680\) | 12.9946 | + | 6.82007i | 0.498319 | + | 0.261538i | ||||
\(681\) | 0.456515 | − | 0.661376i | 0.0174937 | − | 0.0253440i | ||||
\(682\) | −13.0454 | + | 34.3980i | −0.499535 | + | 1.31717i | ||||
\(683\) | 9.97400 | + | 8.83619i | 0.381645 | + | 0.338108i | 0.832034 | − | 0.554725i | \(-0.187176\pi\) |
−0.450389 | + | 0.892832i | \(0.648715\pi\) | |||||||
\(684\) | −3.26862 | − | 2.89575i | −0.124979 | − | 0.110722i | ||||
\(685\) | 25.3241 | + | 6.24184i | 0.967585 | + | 0.238488i | ||||
\(686\) | 24.0469 | − | 21.3037i | 0.918116 | − | 0.813380i | ||||
\(687\) | −10.8735 | + | 2.68009i | −0.414852 | + | 0.102252i | ||||
\(688\) | −17.5361 | + | 25.4054i | −0.668556 | + | 0.968571i | ||||
\(689\) | −3.64147 | + | 13.1313i | −0.138729 | + | 0.500263i | ||||
\(690\) | −0.479480 | − | 0.694646i | −0.0182535 | − | 0.0264447i | ||||
\(691\) | 28.2065 | + | 24.9888i | 1.07302 | + | 0.950617i | 0.998912 | − | 0.0466328i | \(-0.0148491\pi\) |
0.0741128 | + | 0.997250i | \(0.476388\pi\) | |||||||
\(692\) | 1.68604 | + | 2.44266i | 0.0640937 | + | 0.0928558i | ||||
\(693\) | −4.58670 | − | 4.06346i | −0.174234 | − | 0.154358i | ||||
\(694\) | 49.6618 | + | 26.0645i | 1.88514 | + | 0.989395i | ||||
\(695\) | 23.0622 | 0.874799 | ||||||||
\(696\) | −18.6615 | + | 9.79432i | −0.707363 | + | 0.371253i | ||||
\(697\) | 2.57713 | − | 2.28314i | 0.0976157 | − | 0.0864799i | ||||
\(698\) | 38.2822 | 1.44900 | ||||||||
\(699\) | −1.38309 | −0.0523134 | ||||||||
\(700\) | 4.48725 | − | 3.97536i | 0.169602 | − | 0.150254i | ||||
\(701\) | 1.82304 | + | 4.80695i | 0.0688551 | + | 0.181556i | 0.965027 | − | 0.262152i | \(-0.0844321\pi\) |
−0.896172 | + | 0.443708i | \(0.853663\pi\) | |||||||
\(702\) | 5.74963 | + | 0.867111i | 0.217006 | + | 0.0327270i | ||||
\(703\) | −2.12090 | + | 5.59236i | −0.0799914 | + | 0.210920i | ||||
\(704\) | 4.03998 | + | 10.6526i | 0.152262 | + | 0.401483i | ||||
\(705\) | −34.6558 | − | 8.54189i | −1.30521 | − | 0.321706i | ||||
\(706\) | −2.43432 | − | 3.52673i | −0.0916169 | − | 0.132730i | ||||
\(707\) | −5.63936 | + | 14.8698i | −0.212090 | + | 0.559236i | ||||
\(708\) | 1.99856 | + | 5.26978i | 0.0751107 | + | 0.198051i | ||||
\(709\) | 3.54334 | + | 29.1820i | 0.133073 | + | 1.09595i | 0.894300 | + | 0.447468i | \(0.147674\pi\) |
−0.761227 | + | 0.648485i | \(0.775403\pi\) | |||||||
\(710\) | 3.10037 | + | 4.49166i | 0.116355 | + | 0.168569i | ||||
\(711\) | 16.0471 | − | 3.95525i | 0.601812 | − | 0.148333i | ||||
\(712\) | 14.2556 | + | 12.6294i | 0.534251 | + | 0.473305i | ||||
\(713\) | 0.534089 | − | 1.40828i | 0.0200018 | − | 0.0527404i | ||||
\(714\) | 7.87206 | + | 1.94029i | 0.294605 | + | 0.0726135i | ||||
\(715\) | 28.4607 | − | 2.62515i | 1.06437 | − | 0.0981749i | ||||
\(716\) | 15.2041 | − | 3.74747i | 0.568203 | − | 0.140049i | ||||
\(717\) | 1.69351 | − | 13.9473i | 0.0632452 | − | 0.520871i | ||||
\(718\) | 3.68255 | − | 1.93275i | 0.137432 | − | 0.0721296i | ||||
\(719\) | −8.74137 | − | 23.0491i | −0.325998 | − | 0.859586i | −0.993380 | − | 0.114871i | \(-0.963355\pi\) |
0.667382 | − | 0.744715i | \(-0.267415\pi\) | |||||||
\(720\) | 14.2908 | + | 3.52237i | 0.532587 | + | 0.131271i | ||||
\(721\) | 20.6462 | − | 18.2909i | 0.768904 | − | 0.681189i | ||||
\(722\) | 52.9778 | + | 13.0578i | 1.97163 | + | 0.485963i | ||||
\(723\) | 22.4649 | − | 11.7905i | 0.835480 | − | 0.438494i | ||||
\(724\) | 5.99363 | − | 3.14570i | 0.222751 | − | 0.116909i | ||||
\(725\) | 4.77947 | + | 39.3624i | 0.177505 | + | 1.46188i | ||||
\(726\) | −0.817060 | − | 6.72909i | −0.0303239 | − | 0.249740i | ||||
\(727\) | −0.203738 | + | 0.180496i | −0.00755621 | + | 0.00669422i | −0.666892 | − | 0.745154i | \(-0.732376\pi\) |
0.659336 | + | 0.751848i | \(0.270837\pi\) | |||||||
\(728\) | 16.0450 | − | 10.4047i | 0.594667 | − | 0.385624i | ||||
\(729\) | −0.748511 | − | 0.663123i | −0.0277226 | − | 0.0245601i | ||||
\(730\) | −14.9081 | + | 21.5981i | −0.551773 | + | 0.799382i | ||||
\(731\) | −4.83694 | + | 12.7540i | −0.178901 | + | 0.471722i | ||||
\(732\) | −0.122970 | − | 1.01275i | −0.00454509 | − | 0.0374322i | ||||
\(733\) | 1.05511 | − | 8.68964i | 0.0389715 | − | 0.320959i | −0.960166 | − | 0.279431i | \(-0.909854\pi\) |
0.999137 | − | 0.0415283i | \(-0.0132227\pi\) | |||||||
\(734\) | −11.5197 | − | 6.04600i | −0.425200 | − | 0.223162i | ||||
\(735\) | 2.54838 | − | 3.69196i | 0.0939982 | − | 0.136180i | ||||
\(736\) | 0.201023 | + | 0.530054i | 0.00740980 | + | 0.0195380i | ||||
\(737\) | 1.77111 | − | 1.56907i | 0.0652397 | − | 0.0577974i | ||||
\(738\) | 1.47467 | − | 2.13643i | 0.0542833 | − | 0.0786430i | ||||
\(739\) | 1.47077 | + | 2.13078i | 0.0541031 | + | 0.0783819i | 0.849102 | − | 0.528229i | \(-0.177144\pi\) |
−0.794999 | + | 0.606611i | \(0.792528\pi\) | |||||||
\(740\) | 0.181182 | + | 1.49217i | 0.00666038 | + | 0.0548531i | ||||
\(741\) | −24.7624 | + | 8.58253i | −0.909670 | + | 0.315287i | ||||
\(742\) | −1.72682 | + | 14.2216i | −0.0633934 | + | 0.522092i | ||||
\(743\) | 23.3495 | − | 12.2548i | 0.856611 | − | 0.449584i | 0.0215670 | − | 0.999767i | \(-0.493134\pi\) |
0.835044 | + | 0.550183i | \(0.185442\pi\) | |||||||
\(744\) | 7.00156 | + | 18.4616i | 0.256690 | + | 0.676835i | ||||
\(745\) | −0.326300 | + | 2.68732i | −0.0119547 | + | 0.0984558i | ||||
\(746\) | −8.31126 | −0.304297 | ||||||||
\(747\) | −1.69355 | + | 13.9476i | −0.0619637 | + | 0.510317i | ||||
\(748\) | −1.90306 | − | 2.75706i | −0.0695829 | − | 0.100808i | ||||
\(749\) | 7.57137 | − | 1.86617i | 0.276652 | − | 0.0681885i | ||||
\(750\) | −2.10196 | + | 3.04522i | −0.0767528 | + | 0.111196i | ||||
\(751\) | 11.3040 | − | 2.78618i | 0.412488 | − | 0.101669i | −0.0276101 | − | 0.999619i | \(-0.508790\pi\) |
0.440098 | + | 0.897950i | \(0.354944\pi\) | |||||||
\(752\) | 50.3139 | + | 26.4068i | 1.83476 | + | 0.962956i | ||||
\(753\) | 1.37497 | + | 0.721641i | 0.0501068 | + | 0.0262981i | ||||
\(754\) | 1.56675 | − | 54.2854i | 0.0570576 | − | 1.97696i | ||||
\(755\) | 51.0628 | − | 26.7998i | 1.85836 | − | 0.975345i | ||||
\(756\) | 1.41209 | 0.0513573 | ||||||||
\(757\) | 21.4242 | + | 11.2443i | 0.778675 | + | 0.408680i | 0.806725 | − | 0.590926i | \(-0.201238\pi\) |
−0.0280507 | + | 0.999607i | \(0.508930\pi\) | |||||||
\(758\) | 18.3806 | − | 48.4658i | 0.667615 | − | 1.76036i | ||||
\(759\) | −0.0540914 | − | 0.445483i | −0.00196339 | − | 0.0161700i | ||||
\(760\) | −48.4229 | + | 11.9352i | −1.75648 | + | 0.432934i | ||||
\(761\) | −17.2356 | + | 4.24819i | −0.624790 | + | 0.153997i | −0.538985 | − | 0.842315i | \(-0.681192\pi\) |
−0.0858044 | + | 0.996312i | \(0.527346\pi\) | |||||||
\(762\) | 2.16561 | + | 17.8354i | 0.0784519 | + | 0.646109i | ||||
\(763\) | 4.10046 | − | 10.8120i | 0.148447 | − | 0.391422i | ||||
\(764\) | 0.0801551 | + | 0.0420687i | 0.00289991 | + | 0.00152199i | ||||
\(765\) | 6.50363 | 0.235139 | ||||||||
\(766\) | 40.3524 | − | 21.1786i | 1.45799 | − | 0.765213i | ||||
\(767\) | 33.4465 | + | 5.04412i | 1.20768 | + | 0.182133i | ||||
\(768\) | −11.7304 | − | 6.15658i | −0.423283 | − | 0.222156i | ||||
\(769\) | −14.2076 | − | 7.45672i | −0.512339 | − | 0.268896i | 0.188680 | − | 0.982039i | \(-0.439579\pi\) |
−0.701019 | + | 0.713142i | \(0.747271\pi\) | |||||||
\(770\) | 29.1750 | − | 7.19098i | 1.05139 | − | 0.259145i | ||||
\(771\) | −5.24978 | + | 7.60562i | −0.189066 | + | 0.273910i | ||||
\(772\) | 5.10765 | − | 1.25892i | 0.183828 | − | 0.0453097i | ||||
\(773\) | −16.5769 | − | 24.0158i | −0.596230 | − | 0.863789i | 0.402434 | − | 0.915449i | \(-0.368164\pi\) |
−0.998665 | + | 0.0516600i | \(0.983549\pi\) | |||||||
\(774\) | −1.23966 | + | 10.2095i | −0.0445588 | + | 0.366975i | ||||
\(775\) | 37.1476 | 1.33438 | ||||||||
\(776\) | 3.41395 | − | 28.1164i | 0.122554 | − | 1.00932i | ||||
\(777\) | −0.685831 | − | 1.80839i | −0.0246040 | − | 0.0648755i | ||||
\(778\) | −45.8546 | + | 24.0664i | −1.64397 | + | 0.862821i | ||||
\(779\) | −1.41033 | + | 11.6151i | −0.0505302 | + | 0.416154i | ||||
\(780\) | −4.50798 | + | 4.80192i | −0.161412 | + | 0.171936i | ||||
\(781\) | 0.349761 | + | 2.88054i | 0.0125154 | + | 0.103074i | ||||
\(782\) | 0.337287 | + | 0.488645i | 0.0120614 | + | 0.0174739i | ||||
\(783\) | −5.30565 | + | 7.68656i | −0.189608 | + | 0.274695i | ||||
\(784\) | −5.34566 | + | 4.73584i | −0.190916 | + | 0.169137i | ||||
\(785\) | 16.5890 | + | 43.7416i | 0.592087 | + | 1.56121i | ||||
\(786\) | 14.8972 | − | 21.5823i | 0.531366 | − | 0.769816i | ||||
\(787\) | −23.4601 | − | 12.3128i | −0.836264 | − | 0.438905i | −0.00848771 | − | 0.999964i | \(-0.502702\pi\) |
−0.827776 | + | 0.561059i | \(0.810394\pi\) | |||||||
\(788\) | −1.54982 | + | 12.7639i | −0.0552100 | + | 0.454696i | ||||
\(789\) | 0.118480 | + | 0.975769i | 0.00421799 | + | 0.0347383i | ||||
\(790\) | −28.7383 | + | 75.7768i | −1.02246 | + | 2.69602i | ||||
\(791\) | 10.4566 | − | 15.1490i | 0.371795 | − | 0.538638i | ||||
\(792\) | 4.40340 | + | 3.90107i | 0.156468 | + | 0.138619i | ||||
\(793\) | −5.65975 | − | 2.33537i | −0.200984 | − | 0.0829315i | ||||
\(794\) | 41.6913 | − | 36.9353i | 1.47957 | − | 1.31078i | ||||
\(795\) | 1.38518 | + | 11.4080i | 0.0491273 | + | 0.404600i | ||||
\(796\) | −0.665091 | − | 5.47752i | −0.0235735 | − | 0.194145i | ||||
\(797\) | 0.294004 | − | 0.154305i | 0.0104142 | − | 0.00546577i | −0.459508 | − | 0.888174i | \(-0.651974\pi\) |
0.469922 | + | 0.882708i | \(0.344282\pi\) | |||||||
\(798\) | −24.3964 | + | 12.8042i | −0.863622 | + | 0.453264i | ||||
\(799\) | 24.3784 | + | 6.00874i | 0.862447 | + | 0.212574i | ||||
\(800\) | −10.4655 | + | 9.27163i | −0.370012 | + | 0.327802i | ||||
\(801\) | 8.19486 | + | 2.01985i | 0.289551 | + | 0.0713679i | ||||
\(802\) | −17.9959 | − | 47.4513i | −0.635457 | − | 1.67556i | ||||
\(803\) | −12.3546 | + | 6.48419i | −0.435984 | + | 0.228822i | ||||
\(804\) | −0.0657245 | + | 0.541290i | −0.00231793 | + | 0.0190898i | ||||
\(805\) | −1.19444 | + | 0.294404i | −0.0420986 | + | 0.0103764i | ||||
\(806\) | −50.3096 | − | 7.58728i | −1.77208 | − | 0.267250i | ||||
\(807\) | 1.29133 | + | 0.318284i | 0.0454569 | + | 0.0112041i | ||||
\(808\) | 5.41399 | − | 14.2755i | 0.190464 | − | 0.502211i | ||||
\(809\) | 39.4537 | + | 34.9530i | 1.38712 | + | 1.22888i | 0.942949 | + | 0.332938i | \(0.108040\pi\) |
0.444171 | + | 0.895942i | \(0.353498\pi\) | |||||||
\(810\) | 4.76110 | − | 1.17351i | 0.167288 | − | 0.0412328i | ||||
\(811\) | 6.31525 | + | 9.14922i | 0.221758 | + | 0.321273i | 0.918034 | − | 0.396502i | \(-0.129776\pi\) |
−0.696275 | + | 0.717775i | \(0.745161\pi\) | |||||||
\(812\) | −1.58973 | − | 13.0926i | −0.0557885 | − | 0.459460i | ||||
\(813\) | −0.0154693 | − | 0.0407893i | −0.000542533 | − | 0.00143054i | ||||
\(814\) | −1.22678 | + | 3.23476i | −0.0429988 | + | 0.113378i | ||||
\(815\) | 26.3349 | + | 38.1527i | 0.922472 | + | 1.33643i | ||||
\(816\) | −10.0528 | − | 2.47779i | −0.351918 | − | 0.0867400i | ||||
\(817\) | −16.4374 | − | 43.3419i | −0.575072 | − | 1.51634i | ||||
\(818\) | 8.49796 | − | 22.4073i | 0.297124 | − | 0.783453i | ||||
\(819\) | 4.15322 | − | 7.38721i | 0.145125 | − | 0.258130i | ||||
\(820\) | 1.04271 | + | 2.74941i | 0.0364131 | + | 0.0960135i | ||||
\(821\) | −7.06694 | + | 6.26076i | −0.246638 | + | 0.218502i | −0.777380 | − | 0.629031i | \(-0.783452\pi\) |
0.530742 | + | 0.847533i | \(0.321913\pi\) | |||||||
\(822\) | −13.8334 | −0.482496 | ||||||||
\(823\) | −0.941410 | −0.0328155 | −0.0164077 | − | 0.999865i | \(-0.505223\pi\) | ||||
−0.0164077 | + | 0.999865i | \(0.505223\pi\) | |||||||
\(824\) | −19.8211 | + | 17.5599i | −0.690500 | + | 0.611730i | ||||
\(825\) | 9.80026 | − | 5.14357i | 0.341201 | − | 0.179076i | ||||
\(826\) | 35.5602 | 1.23730 | ||||||||
\(827\) | −39.0378 | − | 20.4886i | −1.35748 | − | 0.712459i | −0.380296 | − | 0.924865i | \(-0.624178\pi\) |
−0.977182 | + | 0.212406i | \(0.931870\pi\) | |||||||
\(828\) | 0.0774048 | + | 0.0685746i | 0.00269000 | + | 0.00238313i | ||||
\(829\) | 10.9698 | + | 15.8924i | 0.380995 | + | 0.551967i | 0.965827 | − | 0.259188i | \(-0.0834548\pi\) |
−0.584832 | + | 0.811155i | \(0.698839\pi\) | |||||||
\(830\) | −51.5692 | − | 45.6863i | −1.78999 | − | 1.58580i | ||||
\(831\) | 1.06288 | + | 1.53985i | 0.0368709 | + | 0.0534167i | ||||
\(832\) | −13.2200 | + | 8.57279i | −0.458322 | + | 0.297208i | ||||
\(833\) | −1.79264 | + | 2.59709i | −0.0621113 | + | 0.0899837i | ||||
\(834\) | −11.8763 | + | 2.92725i | −0.411244 | + | 0.101362i | ||||
\(835\) | 46.4351 | − | 41.1379i | 1.60695 | − | 1.42364i | ||||
\(836\) | 11.0538 | + | 2.72452i | 0.382303 | + | 0.0942293i | ||||
\(837\) | 6.54951 | + | 5.80236i | 0.226384 | + | 0.200559i | ||||
\(838\) | −35.9082 | − | 31.8119i | −1.24043 | − | 1.09892i | ||||
\(839\) | 7.46463 | − | 19.6826i | 0.257708 | − | 0.679519i | −0.742248 | − | 0.670125i | \(-0.766240\pi\) |
0.999956 | − | 0.00939427i | \(-0.00299033\pi\) | |||||||
\(840\) | 9.16118 | − | 13.2723i | 0.316091 | − | 0.457936i | ||||
\(841\) | 51.5629 | + | 27.0623i | 1.77803 | + | 0.933182i | ||||
\(842\) | 6.15504 | − | 50.6913i | 0.212117 | − | 1.74694i | ||||
\(843\) | −21.7952 | − | 5.37204i | −0.750667 | − | 0.185023i | ||||
\(844\) | −12.6720 | −0.436190 | ||||||||
\(845\) | 11.8619 | + | 37.7063i | 0.408062 | + | 1.29714i | ||||
\(846\) | 18.9309 | 0.650858 | ||||||||
\(847\) | −9.59241 | − | 2.36432i | −0.329599 | − | 0.0812389i | ||||
\(848\) | 2.20518 | − | 18.1613i | 0.0757263 | − | 0.623662i | ||||
\(849\) | 21.5889 | + | 11.3307i | 0.740930 | + | 0.388870i | ||||
\(850\) | −8.31881 | + | 12.0519i | −0.285333 | + | 0.413376i | ||||
\(851\) | 0.0502254 | − | 0.132434i | 0.00172171 | − | 0.00453976i | ||||
\(852\) | −0.500508 | − | 0.443411i | −0.0171471 | − | 0.0151910i | ||||
\(853\) | 26.1494 | + | 23.1663i | 0.895337 | + | 0.793199i | 0.979120 | − | 0.203285i | \(-0.0651617\pi\) |
−0.0837826 | + | 0.996484i | \(0.526700\pi\) | |||||||
\(854\) | −6.24976 | − | 1.54043i | −0.213862 | − | 0.0527123i | ||||
\(855\) | −16.5431 | + | 14.6559i | −0.565761 | + | 0.501221i | ||||
\(856\) | −7.26879 | + | 1.79159i | −0.248442 | + | 0.0612355i | ||||
\(857\) | −2.27705 | + | 3.29888i | −0.0777825 | + | 0.112687i | −0.859944 | − | 0.510388i | \(-0.829502\pi\) |
0.782162 | + | 0.623076i | \(0.214117\pi\) | |||||||
\(858\) | −14.3232 | + | 4.96435i | −0.488986 | + | 0.169480i | ||||
\(859\) | 6.27825 | + | 9.09562i | 0.214211 | + | 0.310338i | 0.915329 | − | 0.402707i | \(-0.131931\pi\) |
−0.701118 | + | 0.713046i | \(0.747315\pi\) | |||||||
\(860\) | −8.71979 | − | 7.72506i | −0.297342 | − | 0.263422i | ||||
\(861\) | −2.14929 | − | 3.11378i | −0.0732475 | − | 0.106117i | ||||
\(862\) | 26.5550 | + | 23.5257i | 0.904467 | + | 0.801288i | ||||
\(863\) | −20.3189 | − | 10.6642i | −0.691664 | − | 0.363013i | 0.0819801 | − | 0.996634i | \(-0.473876\pi\) |
−0.773644 | + | 0.633621i | \(0.781568\pi\) | |||||||
\(864\) | −3.29339 | −0.112043 | ||||||||
\(865\) | 13.3012 | − | 6.98098i | 0.452253 | − | 0.237361i | ||||
\(866\) | 13.0670 | − | 11.5764i | 0.444035 | − | 0.393381i | ||||
\(867\) | 12.4251 | 0.421977 | ||||||||
\(868\) | −12.3559 | −0.419386 | ||||||||
\(869\) | −32.2517 | + | 28.5725i | −1.09406 | + | 0.969255i | ||||
\(870\) | −16.2405 | − | 42.8227i | −0.550605 | − | 1.45183i | ||||
\(871\) | 2.63839 | + | 1.93586i | 0.0893986 | + | 0.0655943i | ||||
\(872\) | −3.93659 | + | 10.3799i | −0.133310 | + | 0.351509i | ||||
\(873\) | −4.45086 | − | 11.7360i | −0.150639 | − | 0.397202i | ||||
\(874\) | −1.95911 | − | 0.482876i | −0.0662678 | − | 0.0163335i | ||||
\(875\) | 3.06355 | + | 4.43832i | 0.103567 | + | 0.150042i | ||||
\(876\) | 1.14016 | − | 3.00636i | 0.0385225 | − | 0.101575i | ||||
\(877\) | 13.2637 | + | 34.9734i | 0.447882 | + | 1.18097i | 0.948913 | + | 0.315539i | \(0.102185\pi\) |
−0.501030 | + | 0.865430i | \(0.667045\pi\) | |||||||
\(878\) | −3.82101 | − | 31.4688i | −0.128953 | − | 1.06202i | ||||
\(879\) | 6.67616 | + | 9.67209i | 0.225181 | + | 0.326232i | ||||
\(880\) | −37.2570 | + | 9.18304i | −1.25593 | + | 0.309560i | ||||
\(881\) | 21.1399 | + | 18.7283i | 0.712223 | + | 0.630974i | 0.939378 | − | 0.342885i | \(-0.111404\pi\) |
−0.227155 | + | 0.973859i | \(0.572942\pi\) | |||||||
\(882\) | −0.843721 | + | 2.22471i | −0.0284095 | + | 0.0749098i | ||||
\(883\) | −9.24269 | − | 2.27812i | −0.311041 | − | 0.0766647i | 0.0807052 | − | 0.996738i | \(-0.474283\pi\) |
−0.391746 | + | 0.920073i | \(0.628129\pi\) | |||||||
\(884\) | 3.17111 | − | 3.37788i | 0.106656 | − | 0.113610i | ||||
\(885\) | 27.6961 | − | 6.82647i | 0.930993 | − | 0.229469i | ||||
\(886\) | 0.875513 | − | 7.21049i | 0.0294134 | − | 0.242241i | ||||
\(887\) | 50.2126 | − | 26.3536i | 1.68597 | − | 0.884867i | 0.700788 | − | 0.713369i | \(-0.252832\pi\) |
0.985185 | − | 0.171497i | \(-0.0548605\pi\) | |||||||
\(888\) | 0.658422 | + | 1.73612i | 0.0220952 | + | 0.0582603i | ||||
\(889\) | 25.4246 | + | 6.26661i | 0.852715 | + | 0.210175i | ||||
\(890\) | −30.9785 | + | 27.4446i | −1.03840 | + | 0.919944i | ||||
\(891\) | 2.53130 | + | 0.623911i | 0.0848019 | + | 0.0209018i | ||||
\(892\) | 6.33157 | − | 3.32306i | 0.211997 | − | 0.111264i | ||||
\(893\) | −75.5514 | + | 39.6524i | −2.52823 | + | 1.32692i | ||||
\(894\) | −0.173063 | − | 1.42530i | −0.00578810 | − | 0.0476693i | ||||
\(895\) | −9.55295 | − | 78.6756i | −0.319320 | − | 2.62983i | ||||
\(896\) | −23.9873 | + | 21.2509i | −0.801359 | + | 0.709942i | ||||
\(897\) | 0.586403 | − | 0.203244i | 0.0195794 | − | 0.00678613i | ||||
\(898\) | 11.9725 | + | 10.6067i | 0.399527 | + | 0.353950i | ||||
\(899\) | 46.4248 | − | 67.2579i | 1.54835 | − | 2.24318i | ||||
\(900\) | −0.904431 | + | 2.38479i | −0.0301477 | + | 0.0794930i | ||||
\(901\) | −0.974397 | − | 8.02488i | −0.0324619 | − | 0.267348i | ||||
\(902\) | −0.815769 | + | 6.71846i | −0.0271621 | + | 0.223700i | ||||
\(903\) | 13.2725 | + | 6.96593i | 0.441680 | + | 0.231812i | ||||
\(904\) | −10.0387 | + | 14.5436i | −0.333884 | + | 0.483714i | ||||
\(905\) | −12.1484 | − | 32.0327i | −0.403826 | − | 1.06480i | ||||
\(906\) | −22.8941 | + | 20.2824i | −0.760606 | + | 0.673838i | ||||
\(907\) | −13.6889 | + | 19.8318i | −0.454532 | + | 0.658503i | −0.981518 | − | 0.191371i | \(-0.938707\pi\) |
0.526986 | + | 0.849874i | \(0.323322\pi\) | |||||||
\(908\) | −0.274262 | − | 0.397338i | −0.00910172 | − | 0.0131861i | ||||
\(909\) | −0.815555 | − | 6.71670i | −0.0270503 | − | 0.222779i | ||||
\(910\) | 18.2426 | + | 37.3382i | 0.604737 | + | 1.23775i | ||||
\(911\) | −0.0917004 | + | 0.755221i | −0.00303817 | + | 0.0250216i | −0.994149 | − | 0.108016i | \(-0.965550\pi\) |
0.991111 | + | 0.133038i | \(0.0424732\pi\) | |||||||
\(912\) | 31.1547 | − | 16.3512i | 1.03163 | − | 0.541444i | ||||
\(913\) | −12.9890 | − | 34.2491i | −0.429872 | − | 1.13348i | ||||
\(914\) | 0.858289 | − | 7.06864i | 0.0283897 | − | 0.233810i | ||||
\(915\) | −5.16334 | −0.170695 | ||||||||
\(916\) | −0.810977 | + | 6.67900i | −0.0267954 | + | 0.220680i | ||||
\(917\) | −21.7123 | − | 31.4556i | −0.717002 | − | 1.03876i | ||||
\(918\) | −3.34917 | + | 0.825496i | −0.110539 | + | 0.0272454i | ||||
\(919\) | 4.54168 | − | 6.57976i | 0.149816 | − | 0.217046i | −0.740889 | − | 0.671627i | \(-0.765596\pi\) |
0.890705 | + | 0.454581i | \(0.150211\pi\) | |||||||
\(920\) | 1.14671 | − | 0.282638i | 0.0378059 | − | 0.00931831i | ||||
\(921\) | 3.89410 | + | 2.04378i | 0.128315 | + | 0.0673450i | ||||
\(922\) | −6.94324 | − | 3.64409i | −0.228663 | − | 0.120012i | ||||
\(923\) | −3.79175 | + | 1.31420i | −0.124807 | + | 0.0432574i | ||||
\(924\) | −3.25973 | + | 1.71084i | −0.107237 | + | 0.0562824i | ||||
\(925\) | 3.49334 | 0.114860 | ||||||||
\(926\) | 13.0143 | + | 6.83042i | 0.427676 | + | 0.224462i | ||||
\(927\) | −4.16136 | + | 10.9726i | −0.136677 | + | 0.360387i | ||||
\(928\) | 3.70769 | + | 30.5355i | 0.121711 | + | 1.00238i | ||||
\(929\) | 5.09523 | − | 1.25586i | 0.167169 | − | 0.0412035i | −0.154843 | − | 0.987939i | \(-0.549487\pi\) |
0.322012 | + | 0.946736i | \(0.395641\pi\) | |||||||
\(930\) | −41.6599 | + | 10.2683i | −1.36608 | + | 0.336709i | ||||
\(931\) | −1.29264 | − | 10.6458i | −0.0423645 | − | 0.348903i | ||||
\(932\) | −0.294651 | + | 0.776930i | −0.00965161 | + | 0.0254492i | ||||
\(933\) | −6.26391 | − | 3.28755i | −0.205071 | − | 0.107630i | ||||
\(934\) | 1.76212 | 0.0576582 | ||||||||
\(935\) | −15.0132 | + | 7.87955i | −0.490985 | + | 0.257689i | ||||
\(936\) | −3.98724 | + | 7.09199i | −0.130327 | + | 0.231809i | ||||
\(937\) | −7.75512 | − | 4.07020i | −0.253349 | − | 0.132968i | 0.333269 | − | 0.942832i | \(-0.391848\pi\) |
−0.586617 | + | 0.809864i | \(0.699541\pi\) | |||||||
\(938\) | 3.04626 | + | 1.59880i | 0.0994638 | + | 0.0522026i | ||||
\(939\) | −25.6394 | + | 6.31954i | −0.836710 | + | 0.206231i | ||||
\(940\) | −12.1813 | + | 17.6476i | −0.397309 | + | 0.575602i | ||||
\(941\) | −41.8907 | + | 10.3251i | −1.36560 | + | 0.336590i | −0.852943 | − | 0.522005i | \(-0.825184\pi\) |
−0.512655 | + | 0.858594i | \(0.671338\pi\) | |||||||
\(942\) | −14.0949 | − | 20.4200i | −0.459237 | − | 0.665319i | ||||
\(943\) | 0.0333982 | − | 0.275059i | 0.00108759 | − | 0.00895714i | ||||
\(944\) | −45.4112 | −1.47801 | ||||||||
\(945\) | 0.861457 | − | 7.09474i | 0.0280232 | − | 0.230792i | ||||
\(946\) | −9.50781 | − | 25.0700i | −0.309126 | − | 0.815097i | ||||
\(947\) | −36.9954 | + | 19.4167i | −1.20219 | + | 0.630958i | −0.942329 | − | 0.334688i | \(-0.891369\pi\) |
−0.259861 | + | 0.965646i | \(0.583677\pi\) | |||||||
\(948\) | 1.19683 | − | 9.85681i | 0.0388713 | − | 0.320134i | ||||
\(949\) | −12.3740 | − | 14.8069i | −0.401678 | − | 0.480652i | ||||
\(950\) | −5.99854 | − | 49.4024i | −0.194618 | − | 1.60283i | ||||
\(951\) | 11.5151 | + | 16.6825i | 0.373403 | + | 0.540968i | ||||
\(952\) | −6.44438 | + | 9.33629i | −0.208863 | + | 0.302591i | ||||
\(953\) | −9.53866 | + | 8.45051i | −0.308987 | + | 0.273739i | −0.803338 | − | 0.595524i | \(-0.796945\pi\) |
0.494350 | + | 0.869263i | \(0.335406\pi\) | |||||||
\(954\) | −2.16133 | − | 5.69895i | −0.0699755 | − | 0.184510i | ||||
\(955\) | 0.260264 | − | 0.377057i | 0.00842193 | − | 0.0122013i | ||||
\(956\) | −7.47389 | − | 3.92260i | −0.241723 | − | 0.126866i | ||||
\(957\) | 2.93502 | − | 24.1721i | 0.0948758 | − | 0.781372i | ||||
\(958\) | 1.24330 | + | 10.2395i | 0.0401692 | + | 0.330823i | ||||
\(959\) | −7.14948 | + | 18.8516i | −0.230869 | + | 0.608751i | ||||
\(960\) | −7.54821 | + | 10.9355i | −0.243618 | + | 0.352941i | ||||
\(961\) | −34.1048 | − | 30.2142i | −1.10015 | − | 0.974652i | ||||
\(962\) | −4.73108 | − | 0.713503i | −0.152536 | − | 0.0230043i | ||||
\(963\) | −2.48329 | + | 2.20000i | −0.0800230 | + | 0.0708941i | ||||
\(964\) | −1.83725 | − | 15.1311i | −0.0591739 | − | 0.487341i | ||||
\(965\) | −3.20922 | − | 26.4303i | −0.103308 | − | 0.850820i | ||||
\(966\) | 0.577734 | − | 0.303218i | 0.0185883 | − | 0.00975588i | ||||
\(967\) | 35.9229 | − | 18.8538i | 1.15520 | − | 0.606297i | 0.225367 | − | 0.974274i | \(-0.427642\pi\) |
0.929835 | + | 0.367977i | \(0.119950\pi\) | |||||||
\(968\) | 9.20906 | + | 2.26983i | 0.295991 | + | 0.0729551i | ||||
\(969\) | 11.6371 | − | 10.3096i | 0.373839 | − | 0.331192i | ||||
\(970\) | 59.7595 | + | 14.7294i | 1.91876 | + | 0.472932i | ||||
\(971\) | 8.70900 | + | 22.9637i | 0.279485 | + | 0.736942i | 0.999094 | + | 0.0425619i | \(0.0135520\pi\) |
−0.719609 | + | 0.694380i | \(0.755679\pi\) | |||||||
\(972\) | −0.531960 | + | 0.279194i | −0.0170626 | + | 0.00895515i | ||||
\(973\) | −2.14886 | + | 17.6975i | −0.0688893 | + | 0.567355i | ||||
\(974\) | −32.9737 | + | 8.12728i | −1.05655 | + | 0.260415i | ||||
\(975\) | 9.81568 | + | 11.7455i | 0.314353 | + | 0.376158i | ||||
\(976\) | 7.98108 | + | 1.96716i | 0.255468 | + | 0.0629672i | ||||
\(977\) | 10.8100 | − | 28.5037i | 0.345843 | − | 0.911914i | −0.643386 | − | 0.765542i | \(-0.722471\pi\) |
0.989230 | − | 0.146372i | \(-0.0467598\pi\) | |||||||
\(978\) | −18.4043 | − | 16.3048i | −0.588506 | − | 0.521371i | ||||
\(979\) | −21.3645 | + | 5.26588i | −0.682812 | + | 0.168298i | ||||
\(980\) | −1.53100 | − | 2.21804i | −0.0489060 | − | 0.0708525i | ||||
\(981\) | 0.593002 | + | 4.88381i | 0.0189331 | + | 0.155928i | ||||
\(982\) | −4.76702 | − | 12.5696i | −0.152122 | − | 0.401112i | ||||
\(983\) | 5.62710 | − | 14.8374i | 0.179477 | − | 0.473241i | −0.814842 | − | 0.579683i | \(-0.803177\pi\) |
0.994319 | + | 0.106442i | \(0.0339458\pi\) | |||||||
\(984\) | 2.06339 | + | 2.98934i | 0.0657786 | + | 0.0952968i | ||||
\(985\) | 63.1839 | + | 15.5734i | 2.01321 | + | 0.496211i | ||||
\(986\) | 11.4243 | + | 30.1234i | 0.363824 | + | 0.959324i | ||||
\(987\) | 9.78399 | − | 25.7983i | 0.311428 | − | 0.821168i | ||||
\(988\) | −0.454228 | + | 15.7383i | −0.0144509 | + | 0.500702i | ||||
\(989\) | 0.389257 | + | 1.02639i | 0.0123776 | + | 0.0326372i | ||||
\(990\) | −9.56894 | + | 8.47734i | −0.304121 | + | 0.269427i | ||||
\(991\) | −3.02670 | −0.0961464 | −0.0480732 | − | 0.998844i | \(-0.515308\pi\) | ||||
−0.0480732 | + | 0.998844i | \(0.515308\pi\) | |||||||
\(992\) | 28.8173 | 0.914951 | ||||||||
\(993\) | −2.40512 | + | 2.13075i | −0.0763243 | + | 0.0676174i | ||||
\(994\) | −3.73569 | + | 1.96064i | −0.118489 | + | 0.0621878i | ||||
\(995\) | −27.9263 | −0.885323 | ||||||||
\(996\) | 7.47406 | + | 3.92269i | 0.236825 | + | 0.124295i | ||||
\(997\) | 33.1053 | + | 29.3288i | 1.04846 | + | 0.928852i | 0.997557 | − | 0.0698523i | \(-0.0222528\pi\) |
0.0508993 | + | 0.998704i | \(0.483791\pi\) | |||||||
\(998\) | 31.6850 | + | 45.9037i | 1.00297 | + | 1.45306i | ||||
\(999\) | 0.615912 | + | 0.545651i | 0.0194866 | + | 0.0172636i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 507.2.m.a.40.12 | ✓ | 180 | |
169.131 | even | 13 | inner | 507.2.m.a.469.12 | yes | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
507.2.m.a.40.12 | ✓ | 180 | 1.1 | even | 1 | trivial | |
507.2.m.a.469.12 | yes | 180 | 169.131 | even | 13 | inner |